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2011-07
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info:eu-repo/semantics/openAccess
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Elsevier
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Resumen
In this work we analyze the interaction between the Hardy potential and a lower order term to obtain the existence or nonexistence of a positive solution in elliptic problems whose model is {-Δpu=g(u)| ∇u| p+λ up-1/|x|p +f,in Ω,u>0,in Ω,u=0,on ∂Ω, where ΩℝN, N≥3, is a bounded domain containing the origin, 1<p<N and Δp is the p-Laplacian. Concretely, we study under which range of values of the parameter λ>0, the behavior of the positive continuous function g at infinity provides the existence of a solution for such a problem.
Descripción
Categorías UNESCO
Palabras clave
Existence and summability, hardy potential, lower order term, nonlinear elliptic equations
Citación
Tommaso Leonori, Pedro J. Martínez-Aparicio, Ana Primo, Nonlinear elliptic equations with Hardy potential and lower order term with natural growth, Nonlinear Analysis: Theory, Methods & Applications, Volume 74, Issue 11, 2011, Pages 3556-3569, ISSN 0362-546X, https://doi.org/10.1016/j.na.2011.02.039.
Centro
Facultades y escuelas::Facultad de Ciencias
Departamento
Matemáticas Fundamentales