The index of an isolated critical point for a class of non-differentiable elliptic operators in reflexive Banach spaces

DOI10.1016/j.jde.2004.10.011zbMath1086.47032OpenAlexW2050653867MaRDI QIDQ2484534

Vladimir N. Shramenko, Athanassios G. Kartsatos, Igor V. Skrypnik

Publication date: 1 August 2005

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2004.10.011

zbMATH Keywords

degree theorybifurcation pointsnonlinear elliptic PDEsnon-smooth operatorsoperators of \((S_+)\)-type

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Degree theory for nonlinear operators (47H11) Applications of operator theory to differential and integral equations (47N20) Bifurcations in context of PDEs (35B32)

Related Items (1)

Topological degree theories and nonlinear operator equations in Banach spaces

Cites Work

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• Topological degree theories for densely defined mappings involving operators of type \((S_+)\)
• Bifurcation for nonlinear elliptic boundary value problems III
• The index of a critical point for nonlinear elliptic operators with strong coefficient growth
• Linear and quasilinear elliptic equations
• The index of a critical point for densely defined operators of type (𝑆₊)_{𝐿} in Banach spaces
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I

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