On the one-dimensional \(p\)-Laplacian with a singular nonlinearity

DOI10.1016/j.na.2012.02.015zbMath1258.34048OpenAlexW2018746527MaRDI QIDQ417765

Xiaodan Wei, Xulong Qin, Wen-Shu Zhou, Guo-Kai Xu

Publication date: 14 May 2012

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.2012.02.015

zbMATH Keywords

existencesingularitypositive solutionnon-existence\(p\)-Laplacian

Mathematics Subject Classification ID

Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (2)

Positive solutions of Dirichlet and homoclinic type for a class of singular equations ⋮ Nonnegative oscillations for a class of differential equations without uniqueness: a variational approach

Cites Work

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• Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results
• Upper and lower solutions for a generalized Emden-Fowler equation
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• The pressure equation in the fast diffusion range
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• Some new results for singular problems with sign changing nonlinearities
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• Positive solutions for one-dimensional \(p\)-Laplacian boundary value problems with dependence on the first order derivative
• Positivity properties of viscosity solutions of a degenerate parabolic equation
• Existence results for the problem (φ(u′))′=f(t,u,u′) with nonlinear boundary conditions
• Nonuniform nonresonance at the first eigenvalue of the p-laplacian
• Self-similar intermediate asymptotics for a degenerate parabolic filtration-absorption equation
• Some General Existence Principles and Results for $(\phi (y')) = qf(t,y,y'),0 < t < 1$

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