Multiplicity of solutions for singular quasilinear Schrödinger equations with critical exponents

DOI10.1016/j.jmaa.2017.10.015zbMath1379.35085OpenAlexW2760887034MaRDI QIDQ1682093

Youjun Wang

Publication date: 28 November 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.10.015

zbMATH Keywords

variational methodssingular quasilinear Schrödinger equation

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Quasilinear elliptic equations (35J62)

Related Items (15)

Multiplicity of solutions for a quasilinear elliptic equation with \((p,q)\)-Laplacian and critical exponent on \(\mathbb{R}^N\) ⋮ Singular quasilinear Schrödinger equations with exponential growth in dimension two ⋮ Multiplicity of solutions for Schrödinger-Poisson system with critical exponent in \(\mathbb{R}^3\) ⋮ Positive solutions for quasilinear Schrödinger system with positive parameter ⋮ Existence of positive solutions for supercritical quasilinear Schrödinger elliptic equations ⋮ Multiplicity of solutions for some singular quasilinear Schrödinger–Kirchhoff equations with critical exponents ⋮ Existence of positive ground state solutions for quasilinear Schrödinger system with positive parameter ⋮ Multiplicity and asymptotic behavior of solutions for quasilinear elliptic equations with small perturbations ⋮ A variant of Clark's theorem and its applications for nonsmooth functionals without the global symmetric condition ⋮ Existence and nonexistence of solution for a class of quasilinear Schrödinger equations with critical growth ⋮ Existence and behavior of positive solutions for a class of quasilinear elliptic problems with discontinuous nonlinearity ⋮ Multiple non-radially symmetrical nodal solutions for the Schrödinger system with positive quasilinear term ⋮ Singular quasilinear critical Schrödinger equations in \(\mathbb{R}^N\) ⋮ Asymptotically periodic quasilinear Schrödinger equations with critical exponential growth ⋮ Infinitely many sign-changing solutions for modified Kirchhoff-type equations in ℝ³

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