Bifurcation from infinity for an asymptotically linear Schrödinger equation

DOI10.1007/s11784-015-0221-8zbMath1318.35012arXiv1412.1310OpenAlexW2591663390WikidataQ96744793 ScholiaQ96744793MaRDI QIDQ2348793

Andrzej Szulkin, Wojciech Kryszewski

Publication date: 15 June 2015

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.1310

zbMATH Keywords

Morse theorySchrödinger equationasymptotically linearbifurcation from infinity

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (5)

Bifurcation from infinity for elliptic problems on \({\mathbb {R}}^N\) ⋮ Standing waves for Schrödinger equations with Kato-Rellich potentials ⋮ Dynamic Bifurcation from Infinity of Nonlinear Evolution Equations ⋮ Bifurcation from infinity of the Schrödinger equation via invariant manifolds ⋮ Global dynamic bifurcation of local semiflows and nonlinear evolution equations

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