Semilinear degenerate elliptic boundary value problems at resonance

DOI10.1007/s11565-010-0098-9zbMath1205.35103OpenAlexW2072405154MaRDI QIDQ627029

Kazuaki Taira

Publication date: 19 February 2011

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://tsukuba.repo.nii.ac.jp/record/33041/files/Ferrara_56-2.pdf

zbMATH Keywords

degenerate boundary conditionglobal inversion theoremsemilinear boundary value problem at resonancethe Lyapunov-Schmidt procedure

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Degenerate elliptic equations (35J70) Applications of operator theory to differential and integral equations (47N20) Semilinear elliptic equations (35J61) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07)

Related Items (3)

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 Morse theory

Cites Work

• Degenerate elliptic eigenvalue problems with indefinite weights
• Degenerate elliptic boundary value problems with asymmetric nonlinearity
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Methods in Nonlinear Analysis
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