A multiplicity theorem for \(p\)-superlinear \(p\)-Laplacian equations using critical groups and Morse theory
DOI10.1007/s00605-010-0201-4zbMath1223.35140OpenAlexW2009673367MaRDI QIDQ636848
Donal O'Regan, Nikolaos S. Papageorgiou, Sophia Th. Kyritsi
Publication date: 30 August 2011
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00605-010-0201-4
critical groupsMorse theorymountain pass theorem\(C\)-condition\(p\)-superlinear nonlinearityindefinite Euler function
Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)
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