Nonlinear elliptic boundary value problems via cone analysis

DOI10.1016/0362-546X(92)90167-DzbMath0780.35040MaRDI QIDQ4030853

Shouchuan Hu

Publication date: 1 April 1993

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

zbMATH Keywords

fixed pointstopological degreenonlinear elliptic boundary value problemsindex theoryLeray-Schauder degree

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Fixed-point theorems (47H10) Degree theory for nonlinear operators (47H11)

Related Items

Integral equations convertible to fixed point equations of order-preserving operators

Cites Work

• Symmetry and related properties via the maximum principle
• A priori estimates and existence of positive solutions of semilinear elliptic equations
• On the number of solutions of asymptotically superlinear two point boundary value problems
• A priori bounds for positive solutions of nonlinear elliptic equations in two variables
• Positive solutions of nonlinear elliptic boundary value problems
• Singular nonlinear boundary value problems for second-order ordinary differential equations
• Dual variational methods in critical point theory and applications
• Some global results for nonlinear eigenvalue problems
• The fixed point index for local condensing maps
• On the number of solutions of nonlinear equations in ordered Banach spaces
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• On the Existence of Positive Solutions of Semilinear Elliptic Equations
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