Application of elliptic regularity to bifurcation in stationary nonlinear Schrödinger equations

DOI10.1016/S0362-546X(02)00138-4zbMath1034.35036OpenAlexW2009531250MaRDI QIDQ1863474

Patrick J. Rabier, Charles A. Stuart

Publication date: 11 March 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/s0362-546x(02)00138-4

zbMATH Keywords

bifurcationMorse indexFredholm operatorelliptic regularity

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Schrödinger operator, Schrödinger equation (35J10) (Semi-) Fredholm operators; index theories (47A53) Bifurcations in context of PDEs (35B32)

Related Items (2)

On the dynamics of a degenerate parabolic equation: global bifurcation of stationary states and convergence ⋮ Bifurcation from infinity for an asymptotically linear problem on the half-line

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