Nontrivial solutions for perturbations of the \(p\)-Laplacian on unbounded domains
From MaRDI portal
Publication:1900386
DOI10.1006/jmaa.1995.1264zbMath0856.35040OpenAlexW2062906720MaRDI QIDQ1900386
David Goldstein Costa, Olímpio Hiroshi Miyagaki
Publication date: 19 February 1997
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.1995.1264
Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)
Related Items (51)
Existence of entire solutions for Schrödinger-Hardy systems involving two fractional operators ⋮ Ground state solutions for a class of generalized quasilinear Schrödinger-Poisson systems ⋮ Multiple solutions for biharmonic equations with improved subcritical polynomial growth and subcritical exponential growth ⋮ Existence results of positive solutions of Kirchhoff type problems ⋮ Existence of multiple non-trivial solutions for nonlinear p-Laplacian problems on ℝN ⋮ Fractional \(p\)-Laplacian equations with subcritical and critical exponential growth without the Ambrosetti-Rabinowitz condition ⋮ Fractional Kirchhoff-type problems with exponential growth without the Ambrosetti-Rabinowitz condition ⋮ Schrödinger-Hardy systems involving two Laplacian operators in the Heisenberg group ⋮ On a fractional equation of Kirchhoff type with a potential asymptotically linear at infinity ⋮ Existence of solutions for fractional \(p\)-Kirchhoff type equations with a generalized Choquard nonlinearity ⋮ Schrödinger-Kirchhoff-Hardy \(p \)-fractional equations without the Ambrosetti-Rabinowitz condition ⋮ Multiple solutions for a class of Kirchhoff type problems with concave nonlinearity ⋮ Ground state solutions for a Kirchhoff‐type elliptic system involving critical exponential growth nonlinearities ⋮ Ground state solution for a periodic p&q‐Laplacian equation involving critical growth without the Ambrosetti–Rabinowitz condition ⋮ Polyharmonic Kirchhoff-type problem without Ambrosetti–Rabinowitz condition ⋮ \(p\)-Laplacian type equations via mountain pass theorem in Cerami sense ⋮ Ground state solution to N-Kirchhoff equation with critical exponential growth and without Ambrosetti-Rabinowitz condition ⋮ Existence and multiplicity results for the nonlinear Schrödinger-Poisson systems ⋮ The existence of homoclinic solutions for second-order Hamiltonian systems with periodic potentials ⋮ Nontrivial solutions for perturbations of a Hardy--Sobolev operator on unbounded domains. ⋮ Critical points theorems via the generalized Ekeland variational principle and its application to equations of \(p(x)\)-Laplace type in \(\mathbb{R}^{N}\) ⋮ Nontrivial solutions for asymmetric Kirchhoff type problems ⋮ Existence of ground state solutions for Kirchhoff type problem without the Ambrosetti-Rabinowitz condition ⋮ Biharmonic equations with improved subcritical polynomial growth and subcritical exponential growth ⋮ Solutions of perturbed p-Laplacian equations with critical nonlinearity ⋮ Infinitely many solutions of \(p\)-Laplacian equations with limit subcritical growth ⋮ The existence of a nontrivial solution to p‐Laplacian equations in with supercritical growth ⋮ Existence and multiplicity of solutions for a class of superlinear \(p\)-Laplacian equations ⋮ Existence and multiplicity results for Kirchhoff type problems with four-superlinear potentials ⋮ The existence of a nontrivial solution to the \(p{\&}q\)-Laplacian problem with nonlinearity asymptotic to \(u^{p - 1}\) at infinity in \(\mathbb R^N\) ⋮ Existence of a nontrivial solution for the \((p, q)\)-Laplacian in \(\mathbb{R}^N\) without the Ambrosetti-Rabinowitz condition ⋮ Asymptotically linear elliptic systems in \(\mathbb R^N\) ⋮ Asymptotically linear Dirichlet problem for the \(p\)-Laplacian ⋮ The existence of a nontrivial solution to a nonlinear elliptic boundary value problem of \(p\)-Laplacian type without the Ambrosetti-Rabinowitz condition ⋮ Nontrivial solution for asymmetric \((p,2)\)-Laplacian Dirichlet problem ⋮ Existence of asymptotically linear Dirichlet problem ⋮ Positive solutions for a Dirichlet problem ⋮ Nonexistence and existence of positive solutions for the Kirchhoff type equation ⋮ POSITIVE SOLUTIONS FOR ASYMPTOTICALLY LINEAR ELLIPTIC SYSTEMS ⋮ Sign-changing solution and ground state solution for a class of \((p,q)\)-Laplacian equations with nonlocal terms on \(\mathbb{R}^{N}\) ⋮ Nontrivial solutions to the \(p\)-harmonic equation with nonlinearity asymptotic to \(|t|^{p-2}t\) at infinity ⋮ Existence and multiplicity of solutions for a class of \((p,q)\)-Laplacian equations in \(\mathbb{R}^N\) with sign-changing potential ⋮ Ground state solutions for fractional \(p\)-Kirchhoff equation with subcritical and critical exponential growth ⋮ The existence of nontrivial solutions to nonlinear elliptic equation of \(p\)-\(q\)-Laplacian type on \(\mathbb R^N\) ⋮ Nonlocal Kirchhoff problems with Trudinger -- Moser critical nonlinearities ⋮ Existence and multiplicity results forp-laplacian Dirichlet problem with combined nonlinearities ⋮ Multiple solutions for a class of double phase problem without the Ambrosetti-Rabinowitz conditions ⋮ Standing waves for the Chern-Simons-Schrödinger systems without (AR) condition ⋮ An application of a mountain pass theorem ⋮ Solutions to semilinear elliptic problems with combined nonlinearities ⋮ On sign-changing and multiple solutions of the \(p\)-Laplacian.
This page was built for publication: Nontrivial solutions for perturbations of the \(p\)-Laplacian on unbounded domains
