Multiple solutions for a Schrödinger type equation with an asymptotically linear term.

DOI10.1016/j.na.2003.08.008zbMath1145.35374OpenAlexW2053146338MaRDI QIDQ1413963

Francois A. van Heerden

Publication date: 17 November 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2003.08.008

zbMATH Keywords

nonlinear Schrödinger equationpotential well

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

Related Items

Compactness results for Schrödinger equations with asymptotically linear terms, Morse index and multiple solutions for the asymptotically linear Schrödinger type equation, Global bifurcation for asymptotically linear Schrödinger equations, Existence and concentration of solutions to Kirchhoff-type equations in \(\mathbb{R}^2\) with steep potential well vanishing at infinity and exponential critical nonlinearities, Ground‐state solutions of Schrödinger‐type equation with magnetic field, Existence and concentration behavior of solutions to Kirchhoff type equation with steep potential well and critical growth, Existence of solution for Schrödinger equation with discontinuous nonlinearity and asymptotically linear, Nodal type bound states of Schrödinger equations via invariant set and minimax methods, Sign-changing saddle point, Periodic solutions of some second order difference equations

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