Publicación: Quasilinear elliptic equations with singular quadratic growth terms
Fecha
2011-08
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info:eu-repo/semantics/openAccess
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World Scientific Publishing
Resumen
In this paper, we deal with positive solutions for singular quasilinear problems whose model is {u=0-Δu + |∇u| 2/(1-u)γ = g in Ω on ∂Ω, where Ω is a bounded open set of ℝN, g ≥ 0 is a function in some Lebesgue space, and γ > 0. We prove both existence and nonexistence of solutions depending on the value of γ and on the size of g.
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Categorías UNESCO
Palabras clave
measure data, natural growth condition, Nonlinear elliptic equations, vertical asymptote
Citación
Boccardo, L., Leonori, T., Orsina, L., Petitta, F. Quasilinear elliptic equations with singular quadratic growth terms (2011) Communications in Contemporary Mathematics, 13 (4), pp. 607-642. https://doi.org/10.1142/S0219199711004300
Centro
Facultades y escuelas::Facultad de Ciencias
Departamento
Matemáticas Fundamentales