Applications of Morse theory to the solution of semilinear problems depending on \(C^1\) functionals

DOI10.1016/S0362-546X(99)00242-4zbMath1194.35187OpenAlexW2069537753MaRDI QIDQ5940156

Perera, Kanishka, Schechter, Martin

Publication date: 29 July 2001

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(99)00242-4

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Optimality conditions for minimax problems (49K35)

Related Items (1)

Existence of nontrivial solutions for semilinear problems with strictly differentiable nonlinearity

Cites Work

• Critical point theory and Hamiltonian systems
• Asymptotically linear elliptic boundary value problems
• Infinite dimensional Morse theory and multiple solution problems
• Nontrivial solutions of operator equations and Morse indices of critical points of min-max type
• Morse index estimates in saddle point theorems without a finite dimensional closed loop
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