Positive solutions to discontinuous quasilinear problems with critical exponents

DOI10.1007/s00605-022-01746-6zbMath1500.35168OpenAlexW4288430715MaRDI QIDQ2084352

Yan Wang, Ziqing Yuan

Publication date: 18 October 2022

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-022-01746-6

zbMATH Keywords

existencevariational methodsquasilinear Schrödinger equation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)

Cites Work

• Unnamed Item
• The application of the nonsmooth critical point theory to the stationary electrorheological fluids
• Positive solutions of asymptotically linear equations via Pohozaev manifold
• Soliton solutions for quasilinear Schrödinger equations with critical growth
• Existence of soliton solutions for a quasilinear Schrödinger equation involving critical exponent in \(\mathbb R^N\)
• Existence and concentration of positive solutions for a quasilinear equation in \(\mathbb R^N\)
• Variational methods for non-differentiable functionals and their applications to partial differential equations
• On nonhomogeneous elliptic equations involving critical Sobolev exponent
• 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.
• Singular extremal solutions for supercritical elliptic equations in a ball
• Qualitative properties of singular solutions to semilinear elliptic problems
• Quasilinear elliptic equations with critical growth via perturbation method
• On some nonlinear elliptic systems
• Some existence results for superlinear elliptic boundary value problems involving critical exponents
• Soliton solutions for quasilinear Schrödinger equations. II.
• Multiple solutions for a quasilinear Schrödinger equation
• Quasilinear Schrödinger equations with singular and vanishing potentials involving exponential critical growth in \(\mathbb{R}^2\)
• A perturbation approach to studying sign-changing solutions of Kirchhoff equations with a general nonlinearity
• Differential inclusions involving oscillatory terms
• Existence of solutions for Dirichlet elliptic problems with discontinuous nonlinearity
• A class of quasilinear Schrödinger equations with improved (AR) condition
• Existence of solutions to a class of asymptotically linear Schrödinger equations in \(\mathbb{R}^n\) via the Pohozaev manifold
• Positive solutions for quasilinear Schrödinger equations in \(\mathbb{R}^N\)
• Existence of positive solutions, negative solutions and high energy solutions for quasi-linear elliptic equations on \(\mathbb R^N\)
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• 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
• A variational approach to discontinuous problems with critical Sobolev exponents

This page was built for publication: Positive solutions to discontinuous quasilinear problems with critical exponents