Existence and concentration of positive solutions for a class of discontinuous quasilinear Schrödinger problems in \(\mathbb{R}^N \)
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Publication:2126583
DOI10.1186/s13661-020-01362-zzbMath1489.35123OpenAlexW3029824869MaRDI QIDQ2126583
Publication date: 19 April 2022
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13661-020-01362-z
existence of positive solutionsnonsmooth critical point theoryquasilinear Schrödinger equationdiscontinuous nonlinearity
Nonsmooth analysis (49J52) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)
Cites Work
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- Infinitely many solutions of quasilinear Schrödinger equation with sign-changing potential
- Nonnegative solution for quasilinear Schrödinger equations that include supercritical exponents with nonlinearities that are indefinite in sign
- Existence of a nontrivial solution for a class of hemivariational inequality problems at double resonance
- On the existence of positive solutions for hemivariational inequalities driven by the \(p\)-Laplacian
- Existence and multiplicity of positive solutions to a \(p\)-Laplacian equation in \(\mathbb R^N\).
- Soliton solutions for quasilinear Schrödinger equations with critical growth
- Quasilinear asymptotically periodic Schrödinger equations with subcritical growth
- Existence and multiplicity of solutions for semilinear hemivariational inequalities at resonance
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- Soliton solutions for quasilinear Schrödinger equations involving supercritical exponent in \(\mathbb R^N\)
- Multiple solutions for quasilinear Schrödinger equations involving critical exponent
- Existence and concentration of solitary waves for a class of quasilinear Schrödinger equations
- Existence and concentration of positive solutions for a quasilinear equation in \(\mathbb R^N\)
- Quasilinear Schrödinger equations involving concave and convex nonlinearities
- Existence of three nontrivial solutions for nonlinear Neumann hemivariational inequalities
- Solitary waves for quasilinear Schrödinger equations
- Variational methods for non-differentiable functionals and their applications to partial differential equations
- On a class of nonlinear Schrödinger equations
- Variational and non-variational methods in nonlinear analysis and boundary value problems
- The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
- Solutions for a quasilinear Schrödinger equation: a dual approach.
- Compactly supported solutions of Schrödinger equations with small perturbation
- Doubly nonlocal system with Hardy-Littlewood-Sobolev critical nonlinearity
- Quasilinear elliptic equations with critical growth via perturbation method
- Some existence results for superlinear elliptic boundary value problems involving critical exponents
- Soliton solutions for quasilinear Schrödinger equations. II.
- Multiple solutions of constant sign for nonlinear nonsmooth eigenvalue problems near resonance
- Minimax theorems
- Multiple solutions for a quasilinear Schrödinger equation
- Existence of multiple solutions of \(p\)-fractional Laplace operator with sign-changing weight function
- Bound state solutions of sublinear Schrödinger equations with lack of compactness
- Existence of solutions to a class of asymptotically linear Schrödinger equations in \(\mathbb{R}^n\) via the Pohozaev manifold
- On a class of quasilinear Schrödinger equations with superlinear or asymptotically linear terms
- Existence of a bound state solution for quasilinear Schrödinger equations
- Infinitely many solutions for cubic nonlinear Schrödinger equations in dimension four
- Multiple positive solutions of singular and critical elliptic problem in \({\mathbb{R}^2}\) with discontinuous nonlinearities
- Existence and concentration of ground states to a quasilinear problem with competing potentials
- On existence and concentration of solutions for an elliptic problem with discontinuous nonlinearity via penalization method
- Critical growth elliptic problem in \(\mathbb R^2\) with singular discontinuous
- Existence of positive solutions, negative solutions and high energy solutions for quasi-linear elliptic equations on \(\mathbb R^N\)
- Elliptic Problems in with Critical and Singular Discontinuous Nonlinearities
- Optimization and nonsmooth analysis
- Existence and multiplicity results for elliptic problems with critical growth and discontinuous nonlinearities
- Quasilinear elliptic equations via perturbation method
- Existence and concentration of positive solutions for quasilinear Schrödinger equations with critical growth
- Schrödinger Robin problems with indefinite potential and logistic reaction
- A variational approach to discontinuous problems with critical Sobolev exponents
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