On the Fredholm Alternative for Nonlinear Functional Equations in Banach Spaces

DOI10.2307/2038170zbMath0249.47064OpenAlexW4248856781MaRDI QIDQ5662988

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Publication date: 1972

Full work available at URL: https://doi.org/10.2307/2038170

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Nonlinear elliptic equations (35J60)

Related Items (12)

Solvability and alternative theorems for a class of non-linear functional equations in Banach spaces ⋮ Existence of a weak solution for a class of nonlinear elliptic equations on the Sierpiński gasket ⋮ Fredholm theory for abstract and differential equations with noncompact nonlinear perturbations of Fredholm maps ⋮ On the approximation-solvability of equations involving 𝐴-proper and pseudo-𝐴-proper mappings ⋮ Unnamed Item ⋮ A class of degenerate nonlinear elliptic equations in weighted Sobolev space ⋮ Existence of solutions in weighted Sobolev spaces for some degenerate semilinear elliptic equations. ⋮ Fredholm alternatives for nonlinear A-proper mappings with applications to nonlinear elliptic boundary value problems ⋮ Some remarks on a theorem of Kachurovskii ⋮ An existence theorem for a class of non-coercive optimization and variational problems ⋮ Some generalizations of the first Fredholm theorem to multivalued A- proper mappings with applications to nonlinear elliptic equations ⋮ EXISTENCE OF A WEAK SOLUTION FOR A CLASS OF FRACTIONAL LAPLACIAN EQUATIONS

Cites Work

• Unnamed Item
• On nonlinear mappings of monotone type homotopic to odd operators
• Nonlinear functional equations in Banach spaces and homotopy arguments

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