Some applications of monotone operator theory to resonance problems

DOI10.1016/0362-546X(79)90050-6zbMath0418.47028OpenAlexW1986436882MaRDI QIDQ3851163

Herbert Amann, Giovanni Mancini

Publication date: 1979

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(79)90050-6

zbMATH Keywords

periodic solutionsexistence of solutionsmonotone operatorsnonlinear wave equationsresonance problems

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Nonlinear elliptic equations (35J60) First-order nonlinear hyperbolic equations (35L60)

Related Items

Resonance at two consecutive eigenvalues for semilinear elliptic equations, Unbounded perturbations of forced second order ordinary differential equations at resonance, Free vibrations for the equation of a rectangular thin plate, A note on elliptic type boundary value problems with maximal monotone relations, Nonlinear equations at resonance and generalized eigenvalue problems, Saddle points and multiple solutions of differential equations, Existence of solution for a class of semilinear elliptic problems at double resonance, A note on nonlinear oscillations at resonance, Nonlinear boundary value problems at resonance, Existence theorems for higher order nonlinear periodic boundary value problems, A multiplicity result for a class of nonlinear problems with application to a nonlinear wave equation, Double resonance in semilinear elliptic problems, Periodic solutions of nonlinear vibrating strings and duality principles, Some results for semilinear differential equations at resonance, Existence results for forced nonlinear periodic BVPs at resonance

Cites Work

• Existence and multiplicity results for nonlinear elliptic problems with linear part at resonance. The case of the simple eigenvalue
• Équations et inéquations non linéaires dans les espaces vectoriels en dualité
• Nonlinear mappings of monotone type in Banach spaces
• Remarks on some quasilinear elliptic equations
• Periodic Solutions of Nonlinear Hyperbolie Partial Differential Equations
• Soluzioni periodiche di equazioni a derivate parziali di tipo iperbolico non lineari
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