The existence of large solutions of semilinear elliptic equations with negative exponents

DOI10.1016/j.na.2010.05.011zbMath1194.35174OpenAlexW2143006386MaRDI QIDQ988821

Lei Wei

Publication date: 19 August 2010

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.2010.05.011

zbMATH Keywords

eigenvaluetopological degreemaximal positive solutionboundary blow-up

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09)

Related Items (2)

The existence and blow-up rate of large solutions of one-dimensional \(p\)-Laplacian equations ⋮ Blow-up solutions for a \(p\)-Laplacian elliptic equation of logistic type with singular nonlinearity

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