Nonlinear perturbations of linear operators having nullspace with strong unique continuation property

DOI10.1016/0362-546X(79)90082-8zbMath0426.47042OpenAlexW2066166595MaRDI QIDQ3862001

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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)90082-8

zbMATH Keywords

nonlinear perturbationsstrong unique continuation propertyexistence of one and multiple solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Equations involving nonlinear operators (general) (47J05) Nonlinear boundary value problems for ordinary differential equations (34B15) Perturbation theory of linear operators (47A55) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (9)

Resonance at two consecutive eigenvalues for semilinear elliptic equations ⋮ Bounded perturbations of homogeneous quasilinear operators using bifurcations from infinity ⋮ Unbounded perturbations of forced second order ordinary differential equations at resonance ⋮ On Strongly Indefinite Functionals with Applications ⋮ Perturbation of the \(p\)-Laplacian by vanishing nonlinearities (in one dimension) ⋮ Existence and multiplicity results for a class of nonlinear elliptic boundary value problems at resonance ⋮ Nonlinear boundary value problems at resonance ⋮ Nonlinear discrete periodic boundary value problems at resonance ⋮ Existence results for forced nonlinear periodic BVPs at resonance

Cites Work

• Boundary value problems with bounded nonlinearity and general null-space of the linear part
• A remark on the preceding paper of Fucik and Krbec
• Existence and multiplicity results for nonlinear elliptic problems with linear part at resonance. The case of the simple eigenvalue
• Remarks on some quasilinear elliptic equations
• Generalized periodic solutions of nonlinear telegraph equations
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