Existence results for an indefinite unbounded perturbation of a resonant Schrödinger equation

DOI10.1016/j.jde.2007.01.019zbMath1122.35139OpenAlexW1997124793MaRDI QIDQ879372

Hossein Tehrani

Publication date: 11 May 2007

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2007.01.019

zbMATH Keywords

existencenonlinear Schrödinger equationsresonance problemunbounded perturbations

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Perturbations in context of PDEs (35B20) Resonance in context of PDEs (35B34)

Related Items (16)

Existence and multiplicity of solutions for Schrödinger equations with sublinear nonlinearities ⋮ Nonlinear elliptic equations of sublinearity: qualitative behavior of solutions ⋮ Unnamed Item ⋮ SIGN-CHANGING SOLUTIONS FOR A CLASS OF NONLINEAR SCHRÖDINGER EQUATIONS ⋮ Existence and uniqueness of positive solution for nonhomogeneous sublinear elliptic equations ⋮ Multiple solutions with compact support for a quasilinear Schrödinger equation with sign-changing potentials ⋮ Existence of solutions for a perturbation sublinear elliptic equation in \(\mathbb R^N\) ⋮ Qualitative properties and support compactness of solutions for quasilinear Schrödinger equation with sign changing potentials ⋮ On asymptotically linear elliptic equations in \(\mathbb R^N\) ⋮ Study of multiplicity and uniqueness of solutions for a class of nonhomogeneous sublinear elliptic equations ⋮ Nontrivial solutions to non-local problems with sublinear or superlinear nonlinearities ⋮ INFINITELY MANY SOLUTIONS FOR A CLASS OF SUBLINEAR SCHRÖDINGER EQUATIONS ⋮ Positive solution for nonhomogeneous sublinear fractional equations in ⋮ Bound state solutions of sublinear Schrödinger equations with lack of compactness ⋮ Infinitely many solutions for a class of sublinear Schrödinger equations with indefinite potentials ⋮ Infinitely many solutions for a resonant sublinear Schrödinger equation

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