A perturbation of nonlinear scalar field equations

DOI10.1016/j.nonrwa.2018.07.022zbMath1412.35084OpenAlexW2887579611WikidataQ129430850 ScholiaQ129430850MaRDI QIDQ1729180

Tao Liu, Jia-Feng Liao, Jiu Liu

Publication date: 27 February 2019

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2018.07.022

zbMATH Keywords

Schrödinger equationpositive solutionground state solution

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Positive solutions to PDEs (35B09)

Related Items (6)

Ground state solutions for critical Schrödinger equations with Hardy potential ⋮ Existence and asymptotic behavior of ground state solutions for Schrödinger equations with Hardy potential and Berestycki-Lions type conditions ⋮ An inhomogeneous perturbation for a class of nonlinear scalar field equations ⋮ Existence and multiplicity of radially symmetric solutions for nonlinear Schrödinger equations ⋮ G-invariant positive solutions for a class of locally superlinear Schrödinger equations ⋮ Existence and concentration of ground state solutions for critical Schrödinger equation with steep potential well

Cites Work

• Nonlinear scalar field equations. I: Existence of a ground state
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Ground states of nonlinear Schrödinger equations with potentials
• Positive solutions for nonlinear Schrödinger equations with deepening potential well
• On a class of nonlinear Schrödinger equations
• Nonlinear scalar field equations in \(\mathbb{R}^N\): Mountain pass and symmetric mountain pass approaches
• Local conditions insuring bifurcation from the continuous spectrum
• Existence of solutions with prescribed norm for semilinear elliptic equations
• On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝ^N
• A positive solution for an asymptotically linear elliptic problem on $\mathbb{R}^N$ autonomous at infinity
• A positive solution for a nonlinear Schroedinger equation on R^N
• A remark on least energy solutions in $\mathbf {R}^N$
• On the Schroedinger equation in $\mathbb{R}^{N}$ under the effect of a general nonlinear term

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