Fredholm alternatives for nonlinear A-proper mappings with applications to nonlinear elliptic boundary value problems

DOI10.1016/0022-1236(75)90018-XzbMath0297.47050MaRDI QIDQ1214126

W. V. Petryshyn

Publication date: 1975

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Equations involving nonlinear operators (general) (47J05) Nonlinear elliptic equations (35J60) Nonlinear operators and their properties (47H99)

Related Items

Solvability and alternative theorems for a class of non-linear functional equations in Banach spaces, The coupling of boundary integral and finite element methods for nonmonotone nonlinear problems^∗, 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, Continuation theorems and the approximation-solvability of equations involving multivalued A-proper mappings, 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, Bifurcation and asymptotic bifurcation for equations involving A-proper mappings with applications to differential equations, Semi-numerical Approximation Structures for Nonlinear Noncompact Operators in Banach Spaces, Solvability of Linear and Quasilinear Elliptic Boundary Value Problems via the A-Proper Mapping Theory, Higher order nonlinear elliptic equations

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