Nonselfadjoint resonance problems with unbounded perturbations

DOI10.1016/0362-546X(86)90042-8zbMath0599.35069MaRDI QIDQ3733312

Shair Ahmad

Publication date: 1986

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

zbMATH Keywords

Dirichlet problemsemilinear elliptic equationsLandesman-Lazer conditionLeray-Schauder method

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Maximum principles in context of PDEs (35B50) Perturbations in context of PDEs (35B20)

Related Items (15)

A semilinear elliptic boundary value problem at resonance where the nonlinearity may grow linearly ⋮ Discrete nonselfadjoint second-order two-point problems at resonance ⋮ Nonlinear Second Order Elliptic Partial Differential Equations at Resonance ⋮ On the solvability of nonselfadjoint resonance problems ⋮ Solvability of nonlinear elliptic boundary value problem via its associated linear problem. ⋮ A Necessary and Sufficient Condition of Nonresonance for a Semilinear Neumann Problem ⋮ One-sided resonance problems for quasilinear elliptic operators ⋮ Vanational elliptic problems involving noncoercive functionals ⋮ An anti-maximum principle for degenerate elliptic boundary value problems with indefinite weights ⋮ Nonselfadjoint boundary value problems at resonance with nonlinearities which may grow linearly ⋮ Unnamed Item ⋮ On a new notion of linking and application to elliptic problems at resonance ⋮ Solvability of a nonlinear boundary value problem without Landesman-Lazer condition ⋮ Solvability of elliptic boundary value problems without standard Landesman-Lazer condition ⋮ On the solvability of semilinear differential equations at resonance

Cites Work

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• Existence and multiplicity results for nonlinear elliptic problems with linear part at resonance. The case of the simple eigenvalue
• Existence of Solutions of a Nonlinear Differential Equation
• Solution of the Nonlinear Problem Au = N(u) in a Banach Space
• A Resonance Problem in Which the Nonlinearity May Grow Linearly

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