We deal with existence and uniqueness of positive solutions of an elliptic boundary value problem modeled by{−Δpu=fuγ+guqinΩ,u=0on∂Ω, where Ω is an open bounded subset of ℝN where Ω is an open bounded subset of ℝN, Δpu := ÷(|∇u|p− 2∇u) is the usual p-Laplacian operator, γ ≥ 0 and 0 ≤ q ≤ p − 1; f and g are nonnegative functions belonging to suitable Lebesgue spaces.
Comparison Principle for Elliptic Equations with Mixed Singular Nonlinearities / Durastanti, R.; Oliva, F.. - In: POTENTIAL ANALYSIS. - ISSN 0926-2601. - (2022). [10.1007/s11118-021-09906-3]
Comparison Principle for Elliptic Equations with Mixed Singular Nonlinearities
Durastanti R.;Oliva F.
2022
Abstract
We deal with existence and uniqueness of positive solutions of an elliptic boundary value problem modeled by{−Δpu=fuγ+guqinΩ,u=0on∂Ω, where Ω is an open bounded subset of ℝN where Ω is an open bounded subset of ℝN, Δpu := ÷(|∇u|p− 2∇u) is the usual p-Laplacian operator, γ ≥ 0 and 0 ≤ q ≤ p − 1; f and g are nonnegative functions belonging to suitable Lebesgue spaces.File in questo prodotto:
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