Fredholm theory and semilinear equations without resonance involving noncompact perturbations. I.
Milojević, P.S. (1987)
Publications de l'Institut Mathématique. Nouvelle Série
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Displaying similar documents to “Fredholm Theory and Semilinear Equations without Resonance Involving Noncompact Perturbations, II. Applications”
Fredholm theory and semilinear equations without resonance involving noncompact perturbations. I.
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Milojević, P.S. (1995)
Publications de l'Institut Mathématique. Nouvelle Série
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Fredholm alternatives and surjectivity results for multivalued -proper and condensing mappings with applications to nonlinear integral and differential equations
Petronije S. Milojević (1980)
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Milojevic, P.S. (2000)
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Further remark on a theorem by E. M. Landesman and A. C. Lazer
Svatopluk Fučík (1974)
Commentationes Mathematicae Universitatis Carolinae
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Solvability conditions for elliptic problems with non-Fredholm operators
V. Volpert, B. Kaźmierczak, M. Massot, Z. Peradzyński (2002)
Applicationes Mathematicae
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The paper is devoted to solvability conditions for linear elliptic problems with non-Fredholm operators. We show that the operator becomes normally solvable with a finite-dimensional kernel on properly chosen subspaces. In the particular case of a scalar equation we obtain necessary and sufficient solvability conditions. These results are used to apply the implicit function theorem for a nonlinear elliptic problem; we demonstrate the persistence of travelling wave solutions to spatially...