Double resonance in semilinear elliptic problems

DOI10.1080/03605308108820172zbMath0468.35043OpenAlexW4246943369MaRDI QIDQ3921573

Henri Berestycki, Djairo Guedes de Figueiredo

Publication date: 1981

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308108820172

zbMATH Keywords

Dirichlet problemLeray-Schauder degreeuniformly ellipticsemilinear ellipticpriori estimateHammerstein type equationsresonance eigenvalue problemsecond order self- adjoint elliptic linear differential operator

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Spectral theory and eigenvalue problems for partial differential equations (35P99) Fixed-point theorems (47H10) Nonlinear elliptic equations (35J60) Degree, winding number (55M25)

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• Perturbations of second order linear elliptic problems by nonlinearities without landesman-lazer condition
• On the Dirichlet problem for weakly non-linear elliptic partial differential equations
• Monotone operators and nonlinear integral equations of Hammerstein type

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