Open AccessPositive Radial Solutions for Singular Quasilinear Elliptic Equations in a Ball
Author(s) -
D. D. Hai
Publication year - 2014
Publication title -
publications of the research institute for mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.786
H-Index - 39
eISSN - 1663-4926
pISSN - 0034-5318
DOI - 10.4171/prims/136
Subject(s) - mathematics , ball (mathematics) , mathematical analysis , singular solution , elliptic curve
We establish the existence of positive radial solutions for the boundary value problems { −∆pu = λf(u) in B, u = 0 on ∂B, where ∆pu = div(|∇u|p−2∇u), p ≥ 2, B is the open unit ball R , λ is a positive parameter, and f : (0,∞)→ R is p-superlinear at ∞ and is allowed to be singular at 0. 2010 Mathematics Subject Classification: 35J75, 35J92.
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