Existence of solutions for a nonperiodic semilinear Schrödinger equation

DOI10.1080/17476933.2016.1167887zbMath1343.35076OpenAlexW2324270968MaRDI QIDQ5739371

Ricardo Ruviaro, Reinaldo de Marchi

Publication date: 15 July 2016

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2016.1167887

zbMATH Keywords

mountain pass theoremground stateSchrödinger equationssplitting lemmaasymptotically periodic problems

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

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Cites Work

• Unnamed Item
• Unnamed Item
• On superlinear Schrödinger equations with periodic potential
• A global compactness result for elliptic boundary value problems involving limiting nonlinearities
• On a min-max procedure for the existence of a positive solution for certain scalar field equations in \({\mathbb{R}}^ N\)
• Multiple solutions of Schrödinger equations with indefinite linear part and super or asymptotically linear terms
• Quasilinear asymptotically periodic Schrödinger equations with subcritical growth
• Periodic nonlinear Schrödinger equation with application to photonic crystals
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Quasilinear asymptotically periodic elliptic equations with critical growth
• Ground state solutions for some indefinite variational problems
• On a class of nonlinear Schrödinger equations
• On a nonlinear Schrödinger equation with periodic potential
• A nonlinear superposition principle and multibump solutions of periodic Schrödinger equations
• Non-Nehari manifold method for asymptotically periodic Schrödinger equations
• New Super-quadratic Conditions on Ground State Solutions for Superlinear Schrödinger Equation
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Homoclinic type solutions for a semilinear elliptic PDE on ℝⁿ
• On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝ^N
• Existence and multiplicity results for some superlinear elliptic problems on R^N
• On the Schroedinger equation in $\mathbb{R}^{N}$ under the effect of a general nonlinear term
• Nonlinear perturbations of a periodic elliptic problem with critical growth.
• On perturbations of a class of a periodic \(m\)-Laplacian equation with critical growth