1 citations · 1 across the 7 of their papers we have counts for
4 papers · 2 filters
On the asymptotically linear problem for an elliptic equation with an indefinite nonlinearity
Mónica Clapp, Cristian Morales-Encinos, Alberto Saldaña +1
We study the semilinear elliptic problem \[ -Δu = Q_Ω |u|^{p-2}u \quad \text{in } \mathbb{R}^N, \] where \( Q_Ω = χ_Ω - χ_{\mathbb{R}^N \setminus Ω} \) for a bounded smooth domain…
Higher regularity estimates for solutions to -Laplacian-type models
João Vitor da Silva, Makson S. Santos, Mayra Soares
In this work, we tackle the higher regularity estimates of solutions to inhomogeneous Laplacian equations at interior critical points. Our estimates provide smoothness pro…
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_…
A New Approach to Inspect Weakly Coupled Logistic Systems and their Asymptotic Behavior
Haoyu Li, Liliane Maia, Mayra Soares
We consider the weakly coupled elliptic system of logistic type, \begin{equation}\label{LS} \begin{cases} -Δu &=λ_1 u- |u|^{p-2}u+ β|u|^{\frac{p}{2}-2}u |v|{^{\frac{p}{2}-1}}v\mbox…