Fredholm theory for abstract and differential equations with noncompact nonlinear perturbations of Fredholm maps

DOI10.1016/0022-247X(79)90242-7zbMath0458.47044MaRDI QIDQ1151585

W. V. Petryshyn

Publication date: 1979

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Neumann boundary value problemFredholm mapsemilinear elliptic partial differential equationA-proper-mapping

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Equations involving nonlinear operators (general) (47J05) Nonlinear boundary value problems for ordinary differential equations (34B15) (Semi-) Fredholm operators; index theories (47A53)

Related Items

On the solvability of a Neumann boundary value problem for the differential equation \(f(t,x,x',x)=0\), Solvability of Linear and Quasilinear Elliptic Boundary Value Problems via the A-Proper Mapping Theory, Boundary value problems at resonance for certain semilinear ordinary differential equations, Solvability of Neumann BV problems for nonlinear second-order ODEs which need not be solvable for the highest-order derivative, Variational solvability of quasilinear elliptic boundary value problems at resonance, Periodic solutions of nonlinear second-order differential equations which are not solvable for the highest derivative

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