1 citations · 1 across the 9 of their papers we have counts for
9 papers
Geometric approaches for improved regularity in fully nonlinear parabolic models
Junior da Silva Bessa, João Vitor da Silva, Mayra Soares
In this paper, we derive improved estimates for a class of fully nonlinear parabolic equations with continuous drift and admissible source terms of the form $$ \partial_{t}u - F(D^…
Fully Nonlinear Elliptic Grad--Mercier Equations in Weighted Orlicz Spaces
Junior da Silva Bessa, Reshmi Biswas, Mayra Soares
In this article, we study the existence and global regularity results for the fully nonlinear elliptic Grad--Mercier type equations with oblique boundary conditions in the context…
Boundary weak Harnack estimates and regularity for elliptic PDE in divergence form
Fiorella Rendón, Boyan Sirakov, Mayra Soares
We obtain a global extension of the classical weak Harnack inequality which extends and quantifies the Hopf-Oleinik boundary-point lemma, for uniformly elliptic equations in diverg…
Energy estimates for seminodal solutions to an elliptic system with mixed couplings
Mónica Clapp, Mayra Soares
We study the system of semilinear elliptic equations where $N\…
Coupled and uncoupled sign-changing spikes of singularly perturbed elliptic systems
Mónica Clapp, Mayra Soares
We study the existence and asymptotic behavior of solutions having positive and sign-changing components to the singularly perturbed system of elliptic equations \begin{equation*}…
An Indefinite Elliptic Problem on RN Autonomous at Infinity: The Crossing Effect of the Spectrum and the Nonlinearity
Mayra Soares, Liliane A. Maia
We present a new approach to solve a Schrödinger Equation autonomous at infinity, by identifying the relation between the arrangement of the spectrum of the concerned operator and…
Non-Cooperative Systems Modeling Repulsive Interaction of Bose-Einstein Condesates in RN
Liliane A. Maia, Mayra Soares, Ricardo Ruviaro
Inspired by so many possible applications of this class of problems, we seek solution for non-cooperative elliptic systems of two Schrodinger equations. General conditions are ass…
Spectral Theory Approach for a Class of Radial Indefinite Variational Problems
Mayra Soares, Liliane Maia
Considering the radial nonlinear Schrodinger equation - Δu + V(x)u = g(x,u) in R^N, N \geq 3 we aim to find a radial nontrivial solution for it, where V changes sign ensuring this…
An abstract linking theorem applied to indefinite problems via spectral properties
Liliane A. Maia, Mayra Soares
An abstract linking result for Cerami sequences is proved without the Cerami condition. It is applied directly in order to prove the existence of critical points for a class of ind…