Positive solutions for generalized quasilinear Schrödinger equations with potential vanishing at infinity

DOI10.1016/j.aml.2016.06.004zbMath1347.35116OpenAlexW2413434600MaRDI QIDQ308926

Haibo Chen, Hongxia Shi

Publication date: 6 September 2016

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2016.06.004

zbMATH Keywords

variational methodsquasilinear Schrödinger equationsvanishing potential

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09)

Related Items (15)

The existence of nontrivial solution for a class of sublinear biharmonic equations with steep potential well ⋮ Multiple solutions for a class of nonhomogeneous fourth-order quasilinear equations with nonlinearities ⋮ Existence and multiplicity of solutions for a class of generalized quasilinear Schrödinger equations ⋮ Multiple solutions for nonhomogeneous Schrödinger equations ⋮ Infinitely many solutions for generalized quasilinear Schrödinger equations with sign-changing potential ⋮ Ground states for a class of generalized quasilinear Schrödinger equations in \(\mathbb R^N\) ⋮ Ground state sign-changing solutions for a class of generalized quasilinear Schrödinger equations with a Kirchhoff-type perturbation ⋮ Existence of ground state sign-changing solutions for a class of generalized quasilinear Schrödinger-Maxwell system in \(\mathbb R^3\) ⋮ Infinitely many solutions for generalized quasilinear Schrödinger equations with a finite potential well ⋮ Positive solutions for a class of quasilinear Schrödinger equations with vanishing potentials ⋮ Unnamed Item ⋮ On a class of quasilinear Schrödinger equations with vanishing potentials and mixed nonlinearities ⋮ Ground state solutions for a quasilinear elliptic equation with general critical nonlinearity ⋮ Positive solutions for generalized quasilinear Schrödinger equations with asymptotically linear nonlinearities ⋮ Existence of solutions for a class of quasilinear Schrödinger equation with a Kirchhoff-type

Cites Work

• Infinitely many solutions for a class of sublinear Schrödinger-Maxwell equations
• Positive soliton solutions for generalized quasilinear Schrödinger equations with critical growth
• Nontrivial solutions for Kirchhoff-type problems with a parameter
• Generalized quasilinear asymptotically periodic Schrödinger equations with critical growth
• Critical exponents and solitary wave solutions for generalized quasilinear Schrödinger equations
• Existence of solutions for a class of nonlinear Schrödinger equations with potential vanishing at infinity
• Soliton solutions for generalized quasilinear Schrödinger equations
• Quasilinear elliptic problems under asymptotically linear conditions at infinity and at the origin
• Positive solutions for a quasilinear Schrödinger equation with critical growth

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