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math.AP2025
On the existence of a positive solution to a nonlocal logistic system with nonlinear advection terms
Willian Cintra, Romildo Lima, Mayra Soares
In this paper, we study a nonlocal logistic system with nonlinear advection terms \begin{equation*} \left\{ \begin{array}{lcl} -Δu+\vecα(x)\cdot \nabla (|u|^{p-1}u)&=&\left(a-\int_…
math.AP2020
On an Ambrosetti-Prodi type problem in
Claudianor O. Alves, Romildo N. de Lima, Alânnio B. Nóbrega
In this paper we study results of existence and non-existence of solutions for the following Ambrosetti-Prodi type problem $$ \left\{ \begin{array}{lcl} -Δu=P(x)\Big( g(u)+f(x)\Big…