Existence and behavior of positive solutions for a class of quasilinear elliptic problems with discontinuous nonlinearity
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Publication:2046489
DOI10.1007/s00033-021-01604-9zbMath1473.35273OpenAlexW3191332622MaRDI QIDQ2046489
Publication date: 18 August 2021
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-021-01604-9
Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09)
Cites Work
- Unnamed Item
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- Strongly nonlinear multivalued elliptic equations on a bounded domain
- Nonlinear scalar field equations. I: Existence of a ground state
- Some discontinuous variational problems
- Multiple integrals in the calculus of variations
- Variational methods for non-differentiable functionals and their applications to partial differential equations
- Finite-amplitude steady waves in stratified fluids
- On a class of nonlinear Schrödinger equations
- Remarks on the Schrödinger operator with singular complex potentials
- Nonlinear elliptic eigenvalue problems with discontinuities
- Some discontinuous problems with a quasilinear operator
- On nonlinear perturbations of a periodic elliptic problem in \(\mathbb R^2\) involving critical growth.
- Solutions for a quasilinear Schrödinger equation: a dual approach.
- On the existence of soliton solutions to quasilinear Schrödinger equations
- Multiplicity of solutions for singular quasilinear Schrödinger equations with critical exponents
- Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
- Existence and behavior of positive solution for a problem with discontinuous nonlinearity in \({\mathbb{R}}^N\) via a nonsmooth penalization
- Soliton solutions for a class of quasilinear Schrödinger equations with a parameter
- Existence of positive solutions for supercritical quasilinear Schrödinger elliptic equations
- On existence and concentration of solutions for an elliptic problem with discontinuous nonlinearity via penalization method
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Solutions for Quasilinear Schrödinger Equations via the Nehari Method
- Optimization and nonsmooth analysis
- Generalized Gradients and Applications
- Elliptic equations with discontinuous nonlinearities in N
- Existence and multiplicity results for elliptic problems with critical growth and discontinuous nonlinearities
- Existence and Concentration of Solutions for a Class of Elliptic Problems with Discontinuous Nonlinearity in $\mathbf{R}^{N}$