Degenerate elliptic boundary value problems with asymmetric nonlinearity

DOI10.2969/jmsj/06220431zbMath1195.35158OpenAlexW1985890640MaRDI QIDQ978495

Kazuaki Taira

Publication date: 24 June 2010

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/06220431

zbMATH Keywords

variational methodsdegenerate boundary conditionfractional powersemilinear elliptic boundary value problemglobal inversion theorem with singularities

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Fixed-point theorems (47H10) Degenerate elliptic equations (35J70) Applications of operator theory to differential and integral equations (47N20) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

Related Items (7)

A mixed problem of linear elastodynamics ⋮ A mathematical study of diffusive logistic equations with mixed type boundary conditions ⋮ Semilinear degenerate elliptic boundary value problems at resonance ⋮ Multiple solutions of semilinear elliptic problems with degenerate boundary conditions ⋮ Degenerate elliptic boundary value problems with asymptotically linear nonlinearity ⋮ Semilinear degenerate elliptic boundary value problems via the Semenov approximation ⋮ Semilinear degenerate elliptic boundary value problems via Morse theory

Cites Work

• Degenerate elliptic eigenvalue problems with indefinite weights
• On the inversion of some differentiable mappings with singularities between Banach spaces
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Concrete characterization of the domains of fractional powers of some elliptic differential operators of the second order
• Methods in Nonlinear Analysis
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