DOI10.1016/S0362-546X(97)00530-0zbMath0930.35053OpenAlexW1970847130MaRDI QIDQ4267753
Walter Allegretto, Yin Xi Huang
Publication date: 5 December 1999
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00530-0
Yamabe type equations with a sign-changing nonlinearity, and the prescribed curvature problem,
On the dynamics of a degenerate parabolic equation: global bifurcation of stationary states and convergence,
Uniqueness of positive solutions of a \(n\)-Laplace equation in a ball in \(\mathbb{R}^n\) with exponential nonlinearity,
Necessary and sufficient conditions of existence for a system involving the \(p\)-Laplacian (\(1 < p < N\)),
Picone identity for quasilinear elliptic equations with \(p(x)\)-Laplacians and Sturmian comparison theory,
Picone's identity for biharmonic operators on Heisenberg group and its applications,
A priori estimates and existence of positive solutions for strongly nonlinear problems,
On a Robin problem with \(p\)-Laplacian and reaction bounded only from above,
A Picone identity for half-linear elliptic equations and its applications to oscillation theory,
On the Fučik spectrum and a resonance problem for the \(p\)-Laplacian with a nonlinear boundary condition,
The Brezis-Oswald result for quasilinear Robin problems,
Nonlinear elliptic equations with a jumping reaction,
A general approach to weighted \(L^{p}\) Rellich type inequalities related to Greiner operator,
A weighted eigenvalue problem for the \(p\)-Laplacian plus a potential,
Some qualitative questions on the equation \(-\operatorname{div}(a(x,u,u))=f(x,u)\),
Positive and nodal solutions for parametric nonlinear Robin problems with indefinite potential,
Optimal power for an elliptic equation related to some Caffarelli-Kohn-Nirenberg inequalities,
Existence and multiplicity for elliptic p-Laplacian problems with critical growth in the gradient,
Comparison of eigenvalues for the \(p\)-Laplacian with integral inequalities,
Positive solutions to nonlinear \(p\)-Laplace equations with Hardy potential in exterior domains,
Ground state alternative for \(p\)-Laplacian with potential term,
Comparison results for nonlinear equations involving A-harmonic operator,
A weighted eigencurve for Steklov problems with a potential,
\((p,2)\)-equations asymmetric at both zero and infinity,
Existence and uniqueness of positive solutions for the Neumann \(p\)-Laplacian,
Existence and multiplicity of positive solutions to a quasilinear elliptic equation with strong Allee effect growth rate,
Multiple solutions for resonant nonlinear periodic equations,
A quasilinear eigenvalue problem with Robin conditions on the non-smooth domain of finite measure,
Some qualitative properties of Finsler \(p\)-Laplacian,
Hardy inequalities for Finsler \(p\)-Laplacian in the exterior domain,
Computing the first eigenpair of the \(p\)-Laplacian via inverse iteration of sublinear supersolutions,
On positive solutions for \((p,q)\)-Laplace equations with two parameters,
Positive solutions for nonlinear nonhomogeneous Robin problems,
Some remarks on quasilinear parabolic problems with singular potential and a reaction term,
Limits as \(p \rightarrow \infty \) of \(p\)-Laplacian eigenvalue problems perturbed with a concave or convex term,
On a class of singular elliptic problems with the perturbed Hardy-Sobolev operator,
Exact multiplicity of positive solutions for a \(p\)-Laplacian equation with positive convex nonlinearity,
Antimaximum principle in exterior domains,
Optimal \(L^{p}\) Hardy-type inequalities,
A priori estimates for some elliptic equations involving the \(p\)-Laplacian,
On minimization problems which approximate Hardy \(L^{p}\) inequality.,
Estimates of the principal eigenvalue of the \(p\)-Laplacian,
Estimates of the principal eigenvalue of the \(p\)-biharmonic operator,
Results for degenerate nonlinear elliptic equations involving a Hardy potential,
Bifurcation of stable equilibria and nonlinear flux boundary condition with indefinite weight,
Positive solutions for the Robin \(p\)-Laplacian problem with competing nonlinearities,
Antimaximum principle in \(\mathbb R^N\): local versus global.,
Principal eigenvalue in an unbounded domain with indefinite potential,
On the eigenvectors of \(p\)-Laplacian,
Weighted eigenvalue problems for quasilinear elliptic operators with mixed Robin-Dirichlet boundary conditions,
Constant sign and nodal solutions for a class of nonlinear Dirichlet problems,
The existence and non-existence of positive solutions to a singular quasilinear elliptic problem in \(\mathbb R^N\),
Resonant equations with the Neumann \(p\)-Laplacian plus an indefinite potential,
Multiple solutions for a class of \(N\)-Laplacian equations with critical growth and indefinite weight,
Rigidity phenomena in manifolds with boundary under a lower weighted Ricci curvature bound,
Nonlinear Dirichlet problems with a crossing reaction,
Perturbations of nonlinear eigenvalue problems,
Existence of solutions for quasilinear Dirichlet problems with gradient terms,
Existence, uniqueness and qualitative properties of positive solutions of quasilinear elliptic equations,
On noncoercive elliptic problems,
Positive solutions for the Neumann \(p\)-Laplacian,
Anisotropic Picone identities and anisotropic Hardy inequalities,
Existence, nonexistence and uniqueness of positive solutions for nonlinear eigenvalue problems,
On some unexpected properties of radial and symmetric eigenvalues and eigenfunctions of the \(p\)-Laplacian on a disk,
Existence of solutions for a first-order \(p\)-Laplacian BVP on time scales,
Nonhomogeneous Dirichlet problems for the \(p\)-Laplacian,
Non-existence and existence of entire solutions for a quasi-linear problem with singular and super-linear terms,
A bifurcation theorem for the \(p\)-logistic equation,
On the antimaximum principle for the \(p\)-Laplacian with indefinite weight,
A one side superlinear Ambrosetti-Prodi problem for the Dirichlet \(p\)-Laplacian,
On the antimaximum principle for the discrete \(p\)-Laplacian with sign-changing weight,
Necessary and sufficient conditions of existence for positive solution to a class of quasilinear elliptic systems in \(\mathbb R^N\),
A-priori bounds for quasilinear problems in critical dimension,
On a class of critical singular quasilinear elliptic problem with indefinite weights,
Picone identities for half-linear elliptic operators with \(p(x)\)-laplacians and applications to Sturmian comparison theory,
Precise asymptotic of eigenvalues of resonant quasilinear systems,
Minimization of eigenvalues for a quasilinear elliptic Neumann problem with indefinite weight,
Anisotropic Robin problems with logistic reaction,
Singular and superlinear perturbations of the eigenvalue problem for the Dirichlet \(p\)-Laplacian,
Global attractors and convergence to equilibrium for degenerate Ginzburg-Landau and parabolic equations,
Eigenvalue problems and their perturbations for the weighted \((p,q)\)-Laplacian,
Principal frequency of \(p\)-sub-Laplacians for general vector fields,
Nonlinear singular problems with convection,
First Robin eigenvalue of the \(p\)-Laplacian on Riemannian manifolds,
Positive solutions for nonlinear periodic problems,
A priori bounds for superlinear problems involving the \(N\)-Laplacian,
Generalised nonlinear Picone identities for \(p\)-sub-Laplacians and \(p\)-biharmonic operators and applications,
Semilinear biharmonic problems with a singular term,
Positive solutions of the \(p\)-Laplace equation with singular nonlinearity,
Essential spectrum and Weyl asymptotics for discrete Laplacians,
Hardy-type inequalities and Pohozaev-type identities for a class of \(p\)-degenerate subelliptic operators and applications.,
Multiple positive solutions for quasilinear problems with indefinite sublinear nonlinearity,
Computing the first eigenvalue of the \(p\)-Laplacian via the inverse power method,
Multiple solutions for asymptotically \((p-1)\)-homogeneous \(p\)-Laplacian equations,
Positive solutions of the \(p\)-Laplacian involving a superlinear nonlinearity with zeros,
On the Fučik spectrum of Hardy-Sobolev operator,
Principal eigenvalues and Sturm comparison via Picone's identity,
On the Fučik spectrum of the \(p\)-Laplacian with indefinite weights,
Basic estimates for solutions of a class of nonlocal elliptic and parabolic equations,
Partial differential equations with Robin boundary condition in online social networks,
Monotonicity and symmetry of positive solution for 1-Laplace equation,
Discrete Picone inequalities and applications to non local and non homogenenous operators,
Lack of coercivity in a concave-convex type equation,
A note on a nonlinear Krein-Rutman theorem,
Unnamed Item,
Sublinear and superlinear Ambrosetti-Prodi problems for the Dirichlet \(p\)-Laplacian,
Asymptotics for the principal eigenvalue of the \(p\)-Laplacian on the ball as \(p\) approaches 1,
Hardy-Lane-Emden inequalities for \(p\)-Laplacian on arbitrary domains,
Eigenvalue problem of an impulsive differential equation governed by the one-dimensional p-Laplacian operator,
Multiplicity of positive solutions for (p,q)-Laplace equations with two parameters,
Local ``superlinearity and ``sublinearity for the \(p\)-Laplacian,
Existence of Solutions for a One Dimensionalp-Laplacian on Time-Scales,
Positive solutions for perturbations of the eigenvalue problem for the Robin p-Laplacian,
Numerical solutions of the Allen-Cahn equation with the \(p\)-Laplacian,
Generalized Picone identity for the Finsler \(p\)-Laplacian and its applications,
Eigenvalues for a combination between local and nonlocal \(p\)-Laplacians,
Hardy and Rellich inequalities for anisotropic \(p\)-sub-Laplacians,
Unilateral global interval bifurcation for Kirchhoff type problems and its applications,
Estimates on the spectral interval of validity of the anti-maximum principle,
Existence of minimal solutions to quasilinear elliptic equations with several sub-natural growth terms,
Rigidity properties of smooth metric measure spaces via the weighted 𝑝-Laplacian,
Multiplicity of solution for a quasilinear equation with singular nonlinearity,
Maximal domains of the \((\lambda, \mu )\)-parameters to existence of entire positive solutions for singular quasilinear elliptic systems,
Nonlinear Nonhomogeneous Elliptic Problems,
Sturmian comparison theory for half‐linear and nonlinear differential equations via Picone identity,
Global bifurcation, Berestycki's conjecture and one-sign solutions for \(p\)-Laplacian,
Finite-Time and Fixed-Time Consensus of Multiagent Networks with Pinning Control and Noise Perturbation,
Perturbed eigenvalue problems for the Robin \(p\)-Laplacian plus an indefinite potential,
An Ambrosetti–Prodi-type problem for the (p,q)-Laplacian operator,
Equivalence between uniform \(L^{p^*}\) a priori bounds and uniform \(L^\infty\) a priori bounds for subcritical \(p\)-Laplacian equations,
Sturm theorems for degenerate elliptic equations,
On minmax characterization in non-linear eigenvalue problems,
Properties of solutions to some weighted p-Laplacian equation,
On the discrete version of Picone's identity,
Unnamed Item,
Rayleigh quotients of the level set manifolds related to the nonlinear PDE,
A Picone's identity for the p(x)-Laplace equations and its applications,
Quasilinear elliptic equations with sub-natural growth terms in bounded domains,
MULTIPLICITY OF SOLUTIONS FOR SEMILINEAR ELLIPTIC PROBLEMS WITH COMBINED NONLINEARITIES,
ON THE MULTIPLICITY OF SOLUTIONS FOR NON-LINEAR PERIODIC PROBLEMS WITH THE NON-LINEARITY CROSSING SEVERAL EIGENVALUES,
Eigenvalues of the \(p\)-Laplacian and disconjugacy criteria,
Global multiplicity of solutions for a modified elliptic problem with singular terms *,
Uniqueness and sign properties of minimizers in a quasilinear indefinite problem,
Hardy type and Rellich type inequalities on the Heisenberg group,
Unnamed Item,
Infinitely many sign-changing solutions for \(p\)-Laplacian equation involving the critical Sobolev exponent,
QUASILINEAR PROBLEMS WITH THE COMPETITION BETWEEN CONVEX AND CONCAVE NONLINEARITIES AND VARIABLE POTENTIALS,
A Liouville-type theorem for the \(p\)-Laplacian with potential term,
Dirichlet and Neumann problems to critical Emden-Fowler type equations,
Unilateral global bifurcation and nodal solutions for thep-Laplacian with sign-changing weight,
Sturm comparison theorems for some elliptic type equations with damping and external forcing terms,
A remark on the uniqueness of positive solutions for some Dirichlet problems,
OPTIMIZATION PROBLEM FOR EXTREMALS OF THE TRACE INEQUALITY IN DOMAINS WITH HOLES,
Unnamed Item,
Uniqueness of positive solutions for singular problems involving the $p$-Laplacian,
Neumann eigenvalue problems on the exterior domains,
Caccioppoli-type estimates for a class of nonlinear differential operators,
ON THE CONNECTION BETWEEN TWO QUASILINEAR ELLIPTIC PROBLEMS WITH SOURCE TERMS OF ORDER 0 OR 1,
Positive eigenfunctions for the p-Laplace operator revisited,
Existence and nonexistence results for quasilinear elliptic equations involving the \(p\)-Laplacian with a critical potential,
Resonance Problems for a Class of Singular Elliptic Equations,
ON AN EIGENVALUE PROBLEM INVOLVING THE HARDY POTENTIAL,
On the Hardy–Sobolev–Maz'ya Inequality and Its Generalizations,
Strong Resonance for Hardy-Sobolev Operator,
Comparison Geometry of Manifolds with Boundary under a Lower Weighted Ricci Curvature Bound,
Hardy inequalities related to Grushin type operators,
Maximal existence domains of positive solutions for two-parametric systems of elliptic equations,
Groundstate asymptotics for a class of singularly perturbed \(p\)-Laplacian problems in \({{\mathbb{R}}}^N\),
The pseudo-p-Laplace eigenvalue problem and viscosity solutions asp→ ∞,
SYMMETRY AND SYMMETRY BREAKING FOR MINIMIZERS IN THE TRACE INEQUALITY,
Picone's identity on hyperbolic space and its applications,
Localization and landscape functions on quantum graphs,
\((p, 2)\)-equations with a crossing nonlinearity and concave terms,
Generalized Picone inequalities and their applications to \((p,q)\)-Laplace equations,
Singular semilinear elliptic problems with asymptotically linear reaction terms,
Picone's identity for \(\Delta_\gamma \)-Laplace operator and its applications,
A new variable exponent Picone identity and applictions,
Nonlinear Robin problems with indefinite potential,
The Ambrosetti–Prodi Problem for thep-Laplace Operator,
Global multiplicity of solutions for a quasilinear elliptic equation with concave and convex nonlinearities,
A Picone identity for variable exponent operators and applications,
Trace Hardy–Sobolev inequalities in cones,
Some existence results for a fractional problem involving Hardy potential and variable exponent singular term,
On global bifurcation for the nonlinear Steklov problems,
Positive solutions for an elliptic equation in an annulus with a superlinear nonlinearity with zeros,
Caccioppoli estimates through an anisotropic Picone’s identity,
Nontrivial, nonnegative periodic solutions of a system of singular-degenerate parabolic equations with nonlocal terms,
Trace inequalities of the Sobolev type and nonlinear Dirichlet problems,
On the asymptotic behavior of the eigenvalues of nonlinear elliptic problems in domains becoming unbounded,
Resonant (p, 2)-equations with asymmetric reaction,
On the Fredholm-type theorems and sign properties of solutions for \((p, q)\)-Laplace equations with two parameters,
Schrödinger Robin problems with indefinite potential and logistic reaction,
Form estimates for the 𝑝(𝑥)-Laplacean,
On subhomogeneous indefinite \(p\)-Laplace equations in the supercritical spectral interval,
Some improved Caffarelli-Kohn-Nirenberg inequalities,
Criticality theory of half-linear equations with the \((p, A)\)-Laplacian,
\(A\)-harmonic Picone's identity with applications,
ASYMPTOTIC BEHAVIOUR OF MINIMIZING SEQUENCES FOR HARDY'S INEQUALITY,
Sharp a priori estimates for a class of nonlinear elliptic equations with lower order terms,
On the resonant Lane–Emden problem for the p-Laplacian,
Uniqueness of extremals for some sharp Poincaré-Sobolev constants,
Best constants in bipolar \(L^p\) Hardy-type inequalities,
Mixed local and nonlocal supercritical Dirichlet problems,
On the optimization of the first weighted eigenvalue,
Multiple solutions to quasi-linear elliptic Robin systems,
On the antimaximum principle for the \(p\)-Laplacian and its sublinear perturbations,
A stability result for elliptic equations with singular nonlinearity and its applications to homogenization problems,
Positive solutions of the \(p\)-Laplacian with potential terms on weighted Riemannian manifolds with linear diameter growth,
Positive solutions of the \(\mathcal{A}\)-Laplace equation with a potential,
Asymptotic behavior related to Cheeger constant for solutions of an exponentially growth equation,
Positive solutions for a class of nonlinear parametric Robin problems,
Hardy inequalities for magnetic p-Laplacians,
On the maximum principle for the discrete p-laplacian with sign-changing weight,
A Brezis–Oswald approach for mixed local and nonlocal operators,
A non-local quasi-linear ground state representation and criticality theory,
Global multiplicity of solutions to a defocusing quasilinear Schrödinger equation with the singular term,
Asymptotic behavior and monotonicity of radial eigenvalues for the \(p\)-Laplacian,
Fredholm alternative for the \(p\)-Laplacian in higher dimensions,
Multiplicity of solution for a quasilinear equation with singular nonlinearity