Nonlinear perturbations of a linear elliptic problem near its first eigenvalue
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Publication:1238088
DOI10.1016/0022-0396(78)90019-0zbMath0357.35036OpenAlexW2094352132MaRDI QIDQ1238088
Djairo Guedes de Figueiredo, Jean Pierre Gossez
Publication date: 1978
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-0396(78)90019-0
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Surjectivity results for pseudo-monotone mappings in complementary systems
- On the inversion of some differentiable mappings with singularities between Banach spaces
- Remarks on some quasilinear elliptic equations
- Nonlinear Elliptic Boundary Value Problems for Equations With Rapidly (Or Slowly) Increasing Coefficients
- Nonlinear Integral Equations of the Hammerstein Type
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