Compactness results for Schrödinger equations with asymptotically linear terms

DOI10.1016/j.jde.2006.05.007zbMath1387.35246OpenAlexW2005025411MaRDI QIDQ858690

Zhaoli Liu, Jiabao Su, Tobias Weth

Publication date: 11 January 2007

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

Full work available at URL: https://doi.org/10.1016/j.jde.2006.05.007

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (26)

Remarks on infinitely many solutions for a class of Schrödinger equations with sign-changing potential ⋮ Existence and multiplicity of solutions for Schrödinger equations with asymptotically linear nonlinearities allowing interaction with essential spectrum ⋮ Existence and multiplicity of solutions for generalized asymptotically linear Schrödinger-Kirchhoff equations ⋮ Solutions of a Schrödinger-Poisson system with combined nonlinearities ⋮ Existence and multiplicity of solutions for a non-periodic Schrödinger equation ⋮ Homoclinic Solutions of Periodic Discrete Schrödinger Equations with Local Superquadratic Conditions ⋮ Bound states for the Schroedinger equation with mixed-type nonlinearities ⋮ The Fučík spectrum of Schrödinger operator and the existence of four solutions of Schrödinger equations with jumping nonlinearities ⋮ The Unique Continuation Property of Sublinear Equations ⋮ Morse index and multiple solutions for the asymptotically linear Schrödinger type equation ⋮ On Hamiltonian elliptic systems with periodic or non-periodic potentials ⋮ Least energy solutions of the Schrödinger-Kirchhoff equation with linearly bounded nonlinearities ⋮ Multiple solutions for a semiclassical Schrödinger equation ⋮ Solutions of a quasilinear Schrödinger-Poisson system with linearly bounded nonlinearities ⋮ Homoclinic orbits for a class of first-order nonperiodic asymptotically quadratic Hamiltonian systems with spectrum point zero ⋮ On ground state solutions for some non-autonomous Schrödinger-Poisson systems ⋮ INFINITELY MANY SOLUTIONS FOR A CLASS OF SUBLINEAR SCHRÖDINGER EQUATIONS ⋮ Existence of solution for Schrödinger equation with discontinuous nonlinearity and asymptotically linear ⋮ Construction of solutions for some localized nonlinear Schrödinger equations ⋮ Sign-changing solutions of a class of nonlocal quasilinear elliptic boundary value problems ⋮ Multiple solutions for Schrödinger-Poisson systems with indefinite potential and combined nonlinearity ⋮ Infinitely many solutions for Kirchhoff equations with sign-changing potential and Hartree nonlinearity ⋮ Existence and multiplicity results for nonlinear Schrödinger-Poisson equation with general potential ⋮ An indefinite elliptic problem on \(\mathbb{R}^N\) autonomous at infinity: the crossing effect of the spectrum and the nonlinearity ⋮ Ground states for irregular and indefinite superlinear Schrödinger equations ⋮ Standing waves for discrete nonlinear Schrödinger equations with nonperiodic bounded potentials

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