Variational and topological methods for Dirichlet problems with \(p\)-Laplacian
From MaRDI portal
Publication:5954995
zbMath0991.35023MaRDI QIDQ5954995
Jean Mawhin, Petru Jebelean, Gheorghe Dinca
Publication date: 1 September 2002
Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/49321
Degenerate elliptic equations (35J70) Duality theory for topological vector spaces (46A20) Variational methods for second-order elliptic equations (35J20)
Related Items (only showing first 100 items - show all)
Multiple solutions for asymptotically q‐linear (p, q)‐Laplacian problems ⋮ A priori bounds and multiplicity results for slightly superlinear and sublinear elliptic \(p\)-Laplacian equations ⋮ On the antimaximum principle for the \(p\)-Laplacian and its sublinear perturbations ⋮ The multiplicity of solutions for the critical problem involving the fracional p-Laplacian operator ⋮ Multiple weak solutions for pi(x)‐Kirchhoff‐type quasilinear elliptic systems ⋮ STUDY OF COUPLED SYSTEM OF FRACTIONAL HYBRID DIFFERENTIAL EQUATIONS VIA THE PRIOR ESTIMATE METHOD ⋮ Ordinary \(p\)-Laplacian systems with nonlinear boundary conditions ⋮ Linking-type results in nonsmooth critical point theory and applications ⋮ Global invertibility of mappings between Banach spaces and applications to nonlinear equations ⋮ Existence of minimizers for some quasilinear elliptic problems ⋮ Existence of a positive solution and numerical solution for some elliptic superlinear problem ⋮ Existence of weak solutions for a \(p\)-Laplacian problem involving Dirichlet boundary condition ⋮ Approximation-solvability of population biology systems based on \(p\)-Laplacian elliptic inequalities with demicontinuous strongly pseudo-contractive operators ⋮ Existence and multiplicity for elliptic p-Laplacian problems with critical growth in the gradient ⋮ Ground state solutions for a class of periodic Kirchhoff-type equation in \({\mathbb{R}}^3\) Involving critical Sobolev exponent ⋮ Existence of entire solutions for a class of quasilinear elliptic equations ⋮ Variational approaches to characterize weak solutions for some problems of mathematical physics equations ⋮ Existence and multiplicity of positive solutions to a quasilinear elliptic equation with strong Allee effect growth rate ⋮ Application of topological degree method for solutions of coupled systems of multipoints boundary value problems of fractional order hybrid differential equations ⋮ Operator equations and duality mappings in Sobolev spaces with variable exponents ⋮ Existence of weak solutions to degenerate \(p\)-Laplacian equations and integral formulas ⋮ Infinite solutions having a prescribed number of nodes for a Schrödinger problem ⋮ \(p\)-Laplacian problems with nonlinearities interacting with the spectrum ⋮ Minimal potential results for Schrödinger equations with Neumann boundary conditions ⋮ Multiple solutions for perturbed quasilinear elliptic problems ⋮ Existence of a positive solution for some quasilinear elliptic equations in \(\mathbb{R}^N\) ⋮ An optimal pointwise Morrey-Sobolev inequality ⋮ Unnamed Item ⋮ Existence and multiplicity results for Dirichlet problems with \(p\)-Laplacian. ⋮ Some qualitative results of the critical groups for the \(p\)-Laplacian equations ⋮ A note on the implicit function theorem for quasi-linear eigenvalue problems ⋮ Existence results for Kirchhoff–type superlinear problems involving the fractional Laplacian ⋮ On superlinear \(p(x)\)-Laplacian problems without Ambrosetti and Rabinowitz condition ⋮ Solvability and optimization for a class of mixed variational problems ⋮ On variational nonlinear equations with monotone operators ⋮ Mountain pass solutions to equations of \(p\)-Laplacian type. ⋮ On a global implicit function theorem and some applications to integro-differential initial value problems ⋮ A mixed hemivariational-variational problem and applications ⋮ POSITIVE GROUND STATES FOR A CLASS OF SUPERLINEAR -LAPLACIAN COUPLED SYSTEMS INVOLVING SCHRÖDINGER EQUATIONS ⋮ Abstract weak Harnack inequality, multiple fixed points and \(p\)-Laplace equations ⋮ Nonzero positive weak solutions of systems of \(p\)-Laplace equations ⋮ Existence and localization results for \(p(x)\)-Laplacian via topological methods ⋮ Multiple solutions for Neumann and periodic problems with singular \(\phi \)-Laplacian ⋮ A global diffeomorphism theorem and a unique weak solution of Dirichlet problem ⋮ Multiple solutions for the p-Laplacian equations with concave nonlinearities via Morse theory ⋮ On a superlinear elliptic \(p\)-Laplacian equation. ⋮ Nontrivial solutions for a quasilinear elliptic system ⋮ A class of rearrangement optimization problems involving the \(p\)-Laplacian ⋮ A variational inequality theory in reflexive smooth Banach spaces and applications to \(p\)-Laplacian elliptic inequalities ⋮ Applications of Morse theory to some nonlinear elliptic equations with resonance at zero ⋮ The existence of solutions for quasilinear elliptic problems with combined critical Sobolev-Hardy terms ⋮ Existence results for evolution equations with superlinear growth ⋮ Two nontrivial solutions for an elliptic problem involving some nonlocal integro-differential operators ⋮ Two solutions for a parametric singular p-Laplacian problem ⋮ On the existence of multiple solutions for a partial discrete Dirichlet boundary value problem with mean curvature operator ⋮ Infinitely many solutions for double phase problem with unbounded potential in \(\mathbb{R}^N\) ⋮ The existence of a nontrivial solution to p‐Laplacian equations in with supercritical growth ⋮ Nonlinear versions of Stampacchia and Lax-Milgram theorems and applications to \(p\)-Laplace equations ⋮ Elliptic equations involving the 1-Laplacian and a subcritical source term ⋮ Solving an abstract nonlinear eigenvalue problem by the inverse iteration method ⋮ Multiplicity of solutions for a class of quasilinear elliptic systems in Orlicz-Sobolev spaces ⋮ Sign-changing solutions of a \(p\)-Laplacian elliptic problem with constraint in \(\mathbb{R}^N\) ⋮ Linking over cones and nontrivial solutions for \(p\)-Laplace equations with \(p\)-superlinear nonlinearity ⋮ Non-uniformly asymptotically linear \(p\)-Laplacian problems ⋮ Multiplicity results for a class of quasilinear elliptic problems ⋮ Positive solutions of a kind of equations related to the Laplacian and \(p\)-Laplacian ⋮ Existence of solutions for \(p(x)\)-Laplacian problems on a bounded domain ⋮ Ground state solutions for Kirchhoff type equations with asymptotically 4-linear nonlinearity ⋮ A multiplicity theorem for problems with the \(p\)-Laplacian ⋮ Variational methods for nonlinear perturbations of singular \(\varphi \)-Laplacians ⋮ Positive solutions of the \(p(x)\)-Laplace equation with singular nonlinearity ⋮ Critical groups and multiple solutions of the \(p\)-Laplacian equations ⋮ Multiplicity results for a class of asymptotically p-linear equations on ℝN ⋮ A nonlinear second order problem with a nonlocal boundary condition ⋮ Nonuniformly elliptic equations of \(p\)-Laplacian type ⋮ Critical groups at infinity for \(p\)-Laplacian equations with indefinite nonlinearities ⋮ A concentration-compactness principle at infinity and positive solutions of some quasilinear elliptic equations in unbounded domains ⋮ Superposition operators between Sobolev spaces and a non-existence result of higher-order regular solutions for the \(p\)-Laplacian ⋮ Infinitely many solutions for the Dirichlet problem involving the \(p\)-Laplacian ⋮ On superlinear problems without the Ambrosetti and Rabinowitz condition ⋮ On superlinear \(p\)-Laplace equations ⋮ On qualitative properties of solutions for elliptic problems with thep-Laplacian through domain perturbations ⋮ On a quasilinear nonhomogeneous elliptic equation with critical growth in \(\mathbb R^N\) ⋮ Nontrivial solutions of superlinear \(p\)-Laplacian equations ⋮ Positive solutions of the \(p\)-Laplace equation with singular nonlinearity ⋮ On the finite approximate controllability for Hilfer fractional evolution systems with nonlocal conditions ⋮ Infinitely many solutions of some nonlinear variational equations ⋮ A fixed point method for the \(p(\cdot\))-Laplacian ⋮ On a nonlocal asymmetric Kirchhoff problem ⋮ Poincare Inequalities and Neumann Problems for the p-Laplacian ⋮ Localization method for the solutions of nonhomogeneous operator equations ⋮ On ground states of superlinear \(p\)-Laplacian equations in R\(^N\) ⋮ Multiple solutions for a superlinear p -Laplacian equation with concave nonlinearities ⋮ Sign-changing and nontrivial solutions for a class of Kirchhoff-type problems ⋮ Multiple solutions for the \(p\)-Laplace operator with critical growth ⋮ Multiplicity of solutions for a class of elliptic problem of \(p\)-Laplacian type with a \(p\)-gradient term ⋮ Nehari manifold for weighted singular fractional \(p\)-Laplace equations ⋮ A Degree Theory for Lagrangian Boundary Value Problems ⋮ On subhomogeneous indefinite \(p\)-Laplace equations in the supercritical spectral interval ⋮ Multiple solutions for \(p\)-Laplacian type problems with asymptotically \(p\)-linear terms via a cohomological index theory
This page was built for publication: Variational and topological methods for Dirichlet problems with \(p\)-Laplacian
