Con icting nonlinearities and spectral lacunae bounded on one side by eigenvalues

DOI10.1017/S0308210500004261zbMath1095.34051OpenAlexW2063150330MaRDI QIDQ5716722

Hans-Jörg Ruppen

Publication date: 10 January 2006

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

Full work available at URL: https://doi.org/10.1017/s0308210500004261

zbMATH Keywords

mountain pass theoremLjusternik-Schnirelman theorynonlinear Schrödinger equationsspectral gapstwo-parameter nonlinear eigenvalue problemsNehari surfacestep-potential

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) General spectral theory of ordinary differential operators (34L05)

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