On a class of quasilinear Schrödinger equations with vanishing potentials and mixed nonlinearities

DOI10.1007/s13226-019-0364-1zbMath1437.35196OpenAlexW2990790422MaRDI QIDQ2304143

Haibo Chen, Hongxia Shi

Publication date: 6 March 2020

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-019-0364-1

zbMATH Keywords

variational methodsquasilinear Schrödinger equationsvanishing potentialmixed nonlinearity

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62)

Cites Work

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• Existence of solutions for a class of nonlinear Schrödinger equations with potential vanishing at infinity
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• Multiple solutions for the fourth-order elliptic equation with vanishing potential
• Infinitely many solutions for generalized quasilinear Schrödinger equations with sign-changing potential
• Multiple solutions for quasilinear Schrödinger equations with a parameter
• Soliton solutions for quasilinear Schrödinger equations, I
• Nodal soliton solutions for generalized quasilinear Schrödinger equations
• Quasilinear asymptotically periodic Schrödinger equations with critical growth

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