Existence of singular positive solutions for some semilinear elliptic equations

DOI10.2140/PJM.2008.236.57zbMath1232.35065OpenAlexW4302904324MaRDI QIDQ953093

Feng Zhou, Dong Ye, Zongming Guo

Publication date: 14 November 2008

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2008.236.57

zbMATH Keywords

oscillationelliptic equation with singular nonlinearityrupture solutions

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09)

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Positive solution to a nonlinear elliptic problem ⋮ Rupture solutions of an elliptic equation with a singular nonlinearity ⋮ Positive singular solutions of a nonlinear Maxwell equation arising in mesoscopic electromagnetism ⋮ Boundary value problems for a semilinear elliptic equation with singular nonlinearity ⋮ Positive solutions to sublinear elliptic problems ⋮ Large versus bounded solutions to sublinear elliptic problems ⋮ Classification and refined singularity of positive solutions for nonlinear Maxwell equations arising in mesoscopic electromagnetism ⋮ Uniqueness of point rupture solutions to semilinear elliptic equations ⋮ A perturbed fourth order elliptic equation with negative exponent ⋮ Finite Morse index steady states of van der Waals force driven thin film equations ⋮ Positive rupture solutions of steady states for thin-film-type equations ⋮ Existence and asymptotic behavior of solutions for nonlinear Maxwell equations arising in mesoscopic electromagnetism

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