Nonlinear boundary value problems at resonance

DOI10.1016/0362-546X(87)90064-2zbMath0676.35023OpenAlexW1966970445MaRDI QIDQ3831329

Rita Iannacci, M. N. Nkashama

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0362-546x(87)90064-2

zbMATH Keywords

existenceeigenvaluea priori estimatesnonlinearityresonanceLandesman-Lazer conditiondegree argumentsabstract results

Mathematics Subject Classification ID

Related Items (32)

On a fourth-order boundary value problem at resonance ⋮ Resonance at two consecutive eigenvalues for semilinear elliptic equations ⋮ Some existence theorems for the sublinear Neumann boundary value problem ⋮ Existence and multiplicity of solutions for Neumann problems ⋮ Nonlinear equations at resonance and generalized eigenvalue problems ⋮ On solvability theorems of second-order ordinary differential equations with delay ⋮ Non-ordered lower and upper solutions in semilinear elliptic problems ⋮ Nonlinear Second Order Elliptic Partial Differential Equations at Resonance ⋮ Double resonance with Landesman-Lazer conditions for planar systems of ordinary differential equations ⋮ On resonant Neumann problems ⋮ Multiple solutions of Neumann problem for elliptic equations. ⋮ A note on resonance problems with nonlinearity bounded in one direction ⋮ Landesman-lazer type problems for Fučík's spectrum ⋮ Nonlinear elliptic partial differential equations at resonance: Higher eigenvalues ⋮ The mixed BVP for second order nonlinear ordinary differential equation at resonance ⋮ Nonlinear perturbations of differential operators with nontrivial kernel and applications to third-order periodic boundary value problems ⋮ Existence and multiplicity for solutions of Neumann problem for semilinear elliptic equations. ⋮ Uniqueness for small solutions to a superlinear boundary value problem at resonance ⋮ The Dirichlet problem for the fourth order nonlinear ordinary differential equations at resonance ⋮ A nonlinear elliptic problem at resonance with a nonsimple eigenvalue ⋮ Nonzero solutions of a nonlinear elliptic system at resonance ⋮ Nonlinear discrete periodic boundary value problems at resonance ⋮ Multiple solutions of a class of Neumann problem for semilinear elliptic equations ⋮ Solvability of Neumann problem for elliptic equations at resonance ⋮ Nonselfadjoint boundary value problems at resonance with nonlinearities which may grow linearly ⋮ Periodic solutions to nonlinear wave equations with \(x\)-dependent coefficients at resonance ⋮ Periodic-Dirichlet boundary value problem for semi-linear dissipative hyperbolic equations ⋮ On the weak solution of a semilinear boundary value problem without the Landesman-Lazer condition ⋮ Resonance in nonlinear wave equations with \(x\)-dependent coefficients ⋮ Unnamed Item ⋮ Some existence theorems for semilinear Neumann problems with Landesman-Lazer condition revisited ⋮ Periodic solutions of nonlinear differential equations with double resonance

Cites Work

• Qualitative study of a class of nonlinear boundary value problems at resonance
• Asymptotic nonuniform nonresonance conditions in the periodic-Dirichlet problem for semi-linear wave equations
• Elliptic equations with noninvertible Fredholm linear part and bounded nonlinearities
• Strongly nonlinear perturbations of nonnegative boundary value problems with kernel
• Equations with bounded nonlinearities
• Sufficient conditions for existence of solutions of nonlinear boundary value problems at resonance
• Periodic solutions of nonlinear vibrating strings and duality principles
• Some applications of monotone operator theory to resonance problems
• Nonlinear perturbations of linear operators having nullspace with strong unique continuation property
• Perturbations of second order linear elliptic problems by nonlinearities without landesman-lazer condition
• Double resonance in semilinear elliptic problems
• Topology and semilinear equations at resonance in hilbert space
• Uniqueness of solutions for semilinear equations at resonance
• Perturbations of second order linear elliptic problems by unbounded nonlinearities
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