Schrödinger equations with asymptotically periodic terms

DOI10.1017/S0308210515000104zbMath1331.35136arXiv1307.5799MaRDI QIDQ3452142

Reinaldo de Marchi

Publication date: 18 November 2015

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.5799

zbMATH Keywords

mountain pass theoremSchrödinger equationsemilinear elliptic equationconcentration-compactness principleasymptotically periodic problems

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

Related Items (9)

Hamiltonian systems of Schrödinger equations with vanishing potentials ⋮ Ground state solutions for asymptotically periodic quasilinear Schrödinger equations with critical growth ⋮ On fractional Schrödinger equation with periodic and asymptotically periodic conditions ⋮ Existence of solutions for asymptotically periodic fractional Schrödinger equation ⋮ Existence of positive solutions of Schrödinger equations with vanishing potentials ⋮ Existence of solutions for fractional Schrodinger equation with asymptotica- lly periodic terms ⋮ Concentration-compactness for singular nonlocal Schrödinger equations with oscillatory nonlinearities ⋮ A positive ground state solution for a class of asymptotically periodic Schrödinger equations ⋮ Existence of solutions for Schrödinger-Poisson system with asymptotically periodic terms

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