On bounded nonlinear perturbations of an elliptic equation at resonance
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Publication:3927569
DOI10.1016/0362-546X(81)90070-5zbMath0473.35040OpenAlexW2028468315MaRDI QIDQ3927569
Publication date: 1981
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0362-546x(81)90070-5
Lyapunov-Schmidt methodresonancesmooth bounded domainsecond order symmetric uniformly strongly elliptic operator with smooth coefficients
Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Bifurcations in context of PDEs (35B32)
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Cites Work
- Unnamed Item
- 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
- Perturbations of second order linear elliptic problems by nonlinearities without landesman-lazer condition
- Remarks on some quasilinear elliptic equations
