On bifurcation points of equations with Landesman-Lazer type nonlinearities

DOI10.1016/0362-546X(92)90162-8zbMath0783.47070OpenAlexW2075812766MaRDI QIDQ4030887

Alexander M. Krasnosel'skii

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1016/0362-546x(92)90162-8

zbMATH Keywords

boundary value problemsdegree theoryasymptotic bifurcation of nonlinear problems of resonancefinite- dimensional reductions

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Degree theory for nonlinear operators (47H11) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items (5)

On some higher order boundary value problems at resonance ⋮ Double resonance with Landesman-Lazer conditions for planar systems of ordinary differential equations ⋮ Nonlinear resonance in systems with hysteresis ⋮ Periodic solutions of equations with oscillating nonlinearities ⋮ Some existence theorems for semilinear Neumann problems with Landesman-Lazer condition revisited

Cites Work

• Critical point theory and Hamiltonian systems
• Linear eigenvalues and a nonlinear boundary value problem
• A sharp sufficient condition for solution of a nonlinear elliptic boundary value problem
• On a method of analysis of resonance problems
• Nonlinear equations with noninvertible linear part
• On the Dirichlet problem for weakly non-linear elliptic partial differential equations
• AN EXISTENCE THEOREM FOR A NONLINEAR DIRICHLET PROBLEM
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