Existence and Non-Existence Results for Quasilinear Elliptic Exterior Problems with Nonlinear Boundary Conditions
From MaRDI portal
Publication:3518343
DOI10.1080/03605300701518208zbMath1147.35038arXiv0706.2403OpenAlexW2131521518MaRDI QIDQ3518343
Roberta Filippucci, Patrizia Pucci, Vicenţiu D. Rădulescu
Publication date: 7 August 2008
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0706.2403
quasilinear elliptic equationnonlinear boundary conditionexterior domainexistence and non-existence results
Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for higher-order elliptic equations (35J35)
Related Items (73)
Multiple solutions of a quasilinear elliptic problem involving nonlinear boundary condition on exterior domain ⋮ Existence of solutions for fractional \(p\)-Laplacian problems via Leray-Schauder's nonlinear alternative ⋮ Existence of a mountain pass solution for a nonlocal fractional \((p, q)\)-Laplacian problem ⋮ On a sharp weighted Sobolev inequality on the upper half-space and its applications ⋮ Double phase problems with variable growth ⋮ Existence of nontrivial solutions for singular quasilinear elliptic equations on \(\mathbb R^N\) ⋮ Positive solutions of singular elliptic systems with multiple parameters and Caffarelli-Kohn-Nirenberg exponents ⋮ Existence and multiplicity of weak solutions for a singular quasilinear elliptic equation ⋮ Nonvariational approach in the study of Kirchhoff-type equations without symmetry and involving variable exponent ⋮ Solutions to p(x)-Laplace type equations via nonvariational techniques ⋮ Continuous spectrum of Steklov nonhomogeneous elliptic problem ⋮ On a p(x)-Kirchhoff equation with critical exponent and an additional nonlocal term via truncation argument ⋮ Existence of entire solutions for a class of quasilinear elliptic equations ⋮ Quasilinear equations with degenerate coerciveness and having multiple singularities ⋮ Semilinear elliptic problems involving exponential critical growth in the half-space ⋮ A nonlinear eigenvalue problem with \(p(x)\)-growth and generalized Robin boundary value condition ⋮ Existence and uniqueness of solutions for a mixed \(p\)-Laplace boundary value problem involving fractional derivatives ⋮ Interior and boundary \(W^{1,q}\)-estimates for quasi-linear elliptic equations of Schrödinger type ⋮ A sharp Sobolev inequality and its applications to an indefinite elliptic equation with Neumann boundary conditions ⋮ Singular solutions for coercive quasilinear elliptic inequalities with nonlocal terms ⋮ Existence of solutions for critical (p,q)-Laplacian equations in ℝN ⋮ Positive solutions for nonlinear nonhomogeneous Robin problems ⋮ Remarks on a Sobolev embedding ⋮ On a Hardy–Sobolev-type inequality and applications ⋮ Positive solutions for superdiffusive mixed problems ⋮ On some degenerate quasilinear equations involving variable exponents ⋮ Existence and multiplicity results for quasilinear elliptic exterior problems with nonlinear boundary conditions ⋮ Weak solutions for some fractional singular \((p, q)\)-Laplacian nonlocal problems with Hardy potential ⋮ Existence of multiple solutions for a singular quasilinear elliptic equation in \(\mathbb R^N\). ⋮ On some weighted 1-Laplacian problem on \(\mathbb{R}^N\) with singular behavior at the origin ⋮ Multiplicity results for weak solutions of a semilinear Dirichlet elliptic problem with a parametric nonlinearity ⋮ Combined effects in quasilinear elliptic problems with lack of compactness ⋮ Existence and nonexistence of positive solutions for quasilinear elliptic problem ⋮ Double phase problems with variable growth and convection for the Baouendi-Grushin operator ⋮ Multiplicity results for \((p, q)\)-Laplacian equations with critical exponent in \(\mathbb{R}^N\) and negative energy ⋮ Combined effects in nonlinear problems arising in the study of anisotropic continuous media ⋮ Robin fractional problems with symmetric variable growth ⋮ Preface: Professor Vicenţiu Rǎdulescu celebrates his sixtieth anniversary ⋮ Infinitely many symmetric solutions for anisotropic problems driven by nonhomogeneous operators ⋮ A weighted anisotropic variant of the Caffarelli–Kohn–Nirenberg inequality and applications ⋮ Multiple solutions of a quasilinear elliptic system involving the nonlinear boundary conditions on exterior domain ⋮ Anisotropic problems with unbalanced growth ⋮ Existence of solutions for a class of singular quasilinear elliptic equations ⋮ On the regularity forp-Laplace Schrödinger equations with singular potentials ⋮ Existence, multiplicity, and nonexistence of solutions for a \(p\)-Kirchhoff elliptic equation on \(\mathbb{R}^{N}\) ⋮ Quasilinear elliptic system in exterior domains with dependence on the gradient ⋮ A festschrift in honor of Professor Patrizia Pucci's 65th birthday ⋮ Existence of solutions for a problem of resonance using variational method ⋮ Sublinear eigenvalue problems associated to the Laplace operator revisited ⋮ Eigenvalue problem with nonstandard growth conditions and involving concave and convex nonlinearities ⋮ EIGENVALUE PROBLEMS WITH WEIGHT AND VARIABLE EXPONENT FOR THE LAPLACE OPERATOR ⋮ Multiple solutions for nonhomogeneous \(p\)-Laplacian equations with nonlinear boundary conditions on \(\mathbb R_+^N\) ⋮ Eigenvalue problems with unbalanced growth: nonlinear patterns and standing wave solutions ⋮ Existence of multiple solutions for singular elliptic problems with nonlinear boundary conditions ⋮ Existence of solutions for quasilinear elliptic exterior problem with the concave-convex nonlinearities and the nonlinear boundary conditions ⋮ A semilinear elliptic PDE not in divergence form via variational methods ⋮ Existence results for quasilinear elliptic exterior problems involving convection term and nonlinear Robin boundary conditions ⋮ On a quasilinear elliptic problem with convection term and nonlinear boundary condition ⋮ Multiplicity result for some nonlocal anisotropic equation via nonsmooth critical point theory approach ⋮ On the existence of solutions for quasilinear elliptic problems with radial potentials on exterior ball ⋮ Positive solutions of elliptic problems involving both critical Sobolev nonlinearities on exterior regions ⋮ An indefinite quasilinear elliptic problem with weights in anisotropic spaces ⋮ Semilinear pseudo-parabolic equations on manifolds with conical singularities ⋮ A sharp Hardy-Sobolev inequality with boundary term and applications ⋮ Existence and multiplicity of nonnegative solutions for quasilinear elliptic exterior problems with nonlinear boundary conditions ⋮ Positive solutions for robin problem involving the \(p(x)\)-Laplacian ⋮ Existence of positive solutions for a class of quasilinear singular elliptic systems involving Caffarelli-Kohn-Nirenberg exponent with sign-changing weight functions ⋮ Bifurcation analysis for degenerate problems with mixed regime and absorption ⋮ Existence of solution for an indefinite weight quasilinear problem with variable exponent ⋮ Positive solutions of semilinear problems in an exterior domain of \(\mathbb{R}^2\) ⋮ Multiple perturbations of a singular eigenvalue problem ⋮ Nonlinear elliptic equations with variable exponent: old and new ⋮ On symmetric solutions for \((p, q)\)-Laplacian equations in \(\mathbb{R}^N\) with critical terms
Cites Work
- Unnamed Item
- Initiation of slime mold aggregation viewed as an instability
- Existence of solitary waves in higher dimensions
- On the existence of a positive solution of semilinear elliptic equations in unbounded domains
- Dual variational methods in critical point theory and applications
- Local behavior of solutions of quasi-linear equations
- C1 + α local regularity of weak solutions of degenerate elliptic equations
This page was built for publication: Existence and Non-Existence Results for Quasilinear Elliptic Exterior Problems with Nonlinear Boundary Conditions
