Ground state solution and multiple solutions to asymptotically linear Schrödinger equations

DOI10.1186/s13661-014-0216-1zbMath1304.35239OpenAlexW2154054140WikidataQ59323215 ScholiaQ59323215MaRDI QIDQ481458

Zhi-Qing Han, Xiang-Dong Fang

Publication date: 12 December 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-014-0216-1

zbMATH Keywords

multiplicity of solutionsSchrödinger equationasymptotically linearground state solution

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10)

Related Items (3)

Time-harmonic Maxwell equations with asymptotically linear polarization ⋮ Ground state solutions for Kirchhoff type equations with asymptotically 4-linear nonlinearity ⋮ Existence and nonuniqueness of solutions for a class of asymptotically linear nonperiodic Schrödinger equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multiple solutions of Schrödinger equations with indefinite linear part and super or asymptotically linear terms
• Asymptotically linear Schrödinger equation with potential vanishing at infinity
• Harnack inequality for hypoelliptic ultraparabolic equations with a singular lower order term
• Ground state solutions for some indefinite variational problems
• Positive solution for a semilinear elliptic equation which is almost linear at infinity
• Schrödinger type equations with asymptotically linear nonlinearities
• Multiple solutions for a class of nonlinear Schrödinger equations
• Homoclinic solutions for a semilinear elliptic equation with an asymptotically linear nonlinearity
• Minimax theorems
• Multiple solutions for a quasilinear Schrödinger equation
• Existence and multiplicity of solutions for a non-periodic Schrödinger equation
• Applying the mountain pass theorem to an asymptotically linear elliptic equation on R^N
• On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝ^N
• Existence of a positive solution of an elliptic equation on R^N
• On a class of asymptotically linear elliptic problems in \(\mathbb R^N\)

This page was built for publication: Ground state solution and multiple solutions to asymptotically linear Schrödinger equations