Leonori, TommasoMartínez-Aparicio, Pedro J.Primo, Ana2024-11-222024-11-222011-07Tommaso 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.2011.02.039.0362-546X; e-ISSN: 1873-5215http://doi.org/10.1016/j.na.2011.02.039https://hdl.handle.net/20.500.14468/24474In 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.eninfo:eu-repo/semantics/openAccess12 MatemáticasartículoExistence and summabilityhardy potentiallower order termnonlinear elliptic equations