Some applications of A-proper mappings

DOI10.1016/0362-546X(79)90069-5zbMath0416.35030OpenAlexW2063286442MaRDI QIDQ3205664

W. V. Petryshyn, Patrick M. Fitzpatrick

Publication date: 1979

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(79)90069-5

zbMATH Keywords

existence of positive solutionsprojection schemetopological degreepositive eigenvaluenonlinear elliptic boundary value problemA-proper mapping

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Equations involving nonlinear operators (general) (47J05) Degree, winding number (55M25) General theory of partial differential operators (47F05) Nonlinear operators and their properties (47H99)

Related Items (1)

Topological degree and A-proper operators

Cites Work

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• Positive solutions of nonlinear elliptic boundary value problems
• Dual variational methods in critical point theory and applications
• Approximation methods and the generalized topological degree for nonlinear mappings in Banach spaces
• Noncompact mappings and cones in Banach spaces
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• ESTIMATES AND EXISTENCE THEOREMS FOR ELLIPTIC BOUNDARY VALUE PROBLEMS
• On the approximation-solvability of equations involving 𝐴-proper and pseudo-𝐴-proper mappings
• Optimal L ∞ Error Estimates for Galerkin Approximations to Solutions of Two-Point Boundary Value Problems
• Fixed Point Theorems and the Fixed Point Index for Multivalued Mappings in Cones
• On a class of superlinear elliptic problems
• Equivalent Norms for Sobolev Spaces
• A unified theory of conjugate flows

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