A nontrivial solution of a quasilinear elliptic equation via dual approach

DOI10.1007/s10473-019-0220-8zbMath1499.35289OpenAlexW2945165183MaRDI QIDQ2150748

Xianyong Yang, Fukun Zhao, Wei Zhang

Publication date: 30 June 2022

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10473-019-0220-8

zbMATH Keywords

quasilinear elliptic equationnontrivial solutionnonsmooth critical point theorydual approach

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Quasilinear elliptic equations (35J62)

Cites Work

• Nonsmooth critical point theorems and its applications to quasilinear Schrödinger equations
• Multiplicity of solutions for a quasilinear elliptic equation
• Infinitely many solutions of quasilinear Schrödinger equation with sign-changing potential
• Multibump solutions for quasilinear elliptic equations
• Bound states to critical quasilinear Schrödinger equations
• Soliton solutions for quasilinear Schrödinger equations with critical growth
• Critical exponents and solitary wave solutions for generalized quasilinear Schrödinger equations
• Solitary waves for quasilinear Schrödinger equations
• Solutions for a quasilinear Schrödinger equation: a dual approach.
• Sign-changing solutions for \(p\)-biharmonic equations with Hardy potential in \({{\mathbb{R}}^N}\)
• Existence of nontrivial solutions for generalized quasilinear Schrödinger equations with critical or supercritical growths
• Soliton solutions for quasilinear Schrödinger equations. II.
• Minimax theorems
• Soliton solutions for generalized quasilinear Schrödinger equations
• Positive solutions of quasilinear Schrödinger equations with critical growth
• On positive \(G\)-symmetric solutions of a weighted quasilinear elliptic equation with critical Hardy-Sobolev exponent
• Existence and multiplicity of solutions for a class of generalized quasilinear Schrödinger equations
• Existence of positive solutions, negative solutions and high energy solutions for quasi-linear elliptic equations on \(\mathbb R^N\)
• Existence of solutions for quasilinear elliptic equations with Hardy potential
• Multiple Sign-Changing Solutions for Quasilinear Elliptic Equations via Perturbation Method
• Solutions for Quasilinear Schrödinger Equations via the Nehari Method
• Ground state solutions for generalized quasilinear Schrödinger equations with variable potentials and Berestycki-Lions nonlinearities
• Existence and nonexistence of positive solutions for a class of generalized quasilinear Schrödinger equations involving a Kirchhoff-type perturbation with critical Sobolev exponent
• Soliton solutions for quasilinear Schrödinger equations, I
• Quasilinear elliptic equations via perturbation method
• Multibump solutions for quasilinear elliptic equations with critical growth
• Geometrically distinct solutions for quasilinear elliptic equations
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