Topological degree for a class of operators and applications

DOI10.1016/j.na.2004.03.002zbMath1065.47063OpenAlexW1990110080MaRDI QIDQ1879687

Nguyen Hoang Loc, Duong Minh Duc, Phan Van Tuoc

Publication date: 23 September 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.03.002

zbMATH Keywords

topological degreenonlinear singular elliptic equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Degree theory for nonlinear operators (47H11) Applications of operator theory to differential and integral equations (47N20)

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Cites Work

• Topological degree theories for densely defined mappings involving operators of type \((S_+)\)
• Approximation methods and the generalized topological degree for nonlinear mappings in Banach spaces
• Asymptotic fixed point theorems
• Degree theory for local condensing maps
• Equivalence theorems for nonlinear operator equations and coincidence degree theory for some mappings in locally convex topological vector spaces
• The index of a critical point for densely defined operators of type (𝑆₊)_{𝐿} in Banach spaces
• Degree of mapping for nonlinear mappings of monotone type
• Degree of mapping for nonlinear mappings of monotone type: Densely defined mapping
• Nonlinear Singular Elliptic Equations
• The topological degree for noncompact nonlinear mappings in Banach spaces
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