Open AccessQuasilinear equations with natural growth
Author(s) -
David Arcoya,
Pedro J. Martínez-Aparicio
Publication year - 2008
Publication title -
revista matemática iberoamericana
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.569
H-Index - 52
eISSN - 2235-0616
pISSN - 0213-2230
DOI - 10.4171/rmi/548
Subject(s) - natural (archaeology) , mathematics , environmental science , geology , paleontology
We study the existence of positive solution w ∈ H1 0 (Ω) of the quasilinear equation −∆w + g(w)|∇w|2 = a(x), x ∈ Ω, where Ω is a bounded domain in RN , 0 ≤ a ∈ L∞(Ω) and g is a nonnegative continuous function on (0,+∞) which may have a singularity at zero.
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