On the existence of eigenvalues for some nonlinear elliptic and hyperbolic problems

DOI10.1017/S0308210500020849zbMath0612.35106MaRDI QIDQ3752819

N. Basile, Michele Mininni

Publication date: 1985

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

zbMATH Keywords

existenceweight functioncritical pointelliptic eigenvalue problemunbounded manifolds

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) General topics in linear spectral theory for PDEs (35P05) Nonlinear elliptic equations (35J60) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10)

Cites Work

• The dual method in critical point theory. Multiplicity results for indefinite functional
• Sull'esistenza di autovalori per un problema al contorno non lineare
• Some minimax principles and their applications in nonlinear elliptic equations
• Critical point theorems for indefinite functionals
• Dual variational methods in critical point theory and applications
• Lusternik-Schnirelman theory on Banach manifolds
• Multiple periodic solutions for a semilinear wave equation with nonmonotone nonlinearity
• Forced vibrations for a nonlinear wave equation

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