A Sign-Changing Solution for an Asymptotically Linear Schrödinger Equation

DOI10.1017/S0013091514000339zbMath1327.35087MaRDI QIDQ2949792

Sérgio H. M. Soares, Olímpio Hiroshi Miyagaki, Liliane A. Maia

Publication date: 2 October 2015

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

variational methodradially symmetricsign-changing solutionasymptotically linear elliptic equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Second-order elliptic equations (35J15) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

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Multiple sign-changing solutions for a class of Schrödinger equations with saturable nonlinearity ⋮ A positive bound state for an asymptotically linear or superlinear Schrödinger equation in exterior domains ⋮ Positive solutions for asymptotically linear problems in exterior domains ⋮ Least energy radial sign-changing solution for the Schrödinger-Poisson system in \(\mathbb{R}^3\) under an asymptotically cubic nonlinearity ⋮ A positive bound state for an asymptotically linear or superlinear Schrödinger equation ⋮ A parameterized quasilinear Schrödinger equation with indefinite potentials ⋮ Least action nodal solutions for a quasilinear defocusing Schrödinger equation with supercritical nonlinearity ⋮ Least Energy Nodal Solutions for a Defocusing Schrödinger Equation with Supercritical Exponent ⋮ Existence and nonuniqueness of solutions for a class of asymptotically linear nonperiodic Schrödinger equations

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