1 citations · 1 across the 7 of their papers we have counts for
7 papers · 1 filter
A fully nonlinear two-phase Alt-Phillips problem with gradient nonlinearities
Junior da Silva Bessa, João Vitor da Silva, Yuwei Hu +1
In this manuscript, we analyze a two-phase free boundary problem of Alt-Phillips-type driven by fully nonlinear elliptic equations with lower-order ingredients. More precisely, we…
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…
Optimal pinwheel partitions and pinwheel solutions to a nonlinear Schrödinger system
Mónica Clapp, Alberto Saldaña, Mayra Soares +1
We establish the existence of a solution to a nonlinear competitive Schrödinger system whose scalar potential tends to a positive constant at infinity with an appropriate rate. Thi…
Multiplicity and Bifurcation Results for a Class of Quasilinear Elliptic Problems with Quadratic Growth on the Gradient
Fiorella Rendón, Mayra Soares
We investigate the existence, non-existence, and multiplicity of solutions to the following class of quasilinear elliptic equations \begin{align*}\tag{} -\mathrm{div}(A(x)Du)=…