27 citations · 173 across the 52 of their papers we have counts for
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Uniform stability of the ball with respect to the first Dirichlet and Neumann eigenvalues
Joao V. da Silva, Julio D. Rossi, Ariel M. Salort
In this note we analyze how perturbations of a ball behaves in terms of their first (non-trivial) Neumann and Dirichlet eigenvalues w…
Traces for fractional Sobolev spaces with variable exponents
Leandro M. Del Pezzo, Julio D. Rossi
In this note we prove a trace theorem in fractional spaces with variable exponents. To be more precise, we show that if and $q:\p…
Maximal solutions for the Infinity-eigenvalue problem
Joao V. da Silva, Julio D. Rossi, Ariel M. Salort
In this article we prove that the first eigenvalue of the Laplacian $$ \left\{ \begin{array}{rclcl} \min\{ -Δ_\infty v,\, |\nabla v|-λ_{1, \infty}(Ω) v \} & = & 0 & \text{…
The infinity-Fucik spectrum
Joao V. da Silva, Julio D. Rossi, Ariel M. Salort
In this article we study the behavior as of the Fucik spectrum for -Laplace operator with zero Dirichlet boundary conditions in a bounded domain $Ω\subset \m…
A concave-convex problem with a variable operator
Alexis Molino, Julio D. Rossi
We study the following elliptic problem with Dirichlet boundary conditions, where is the Laplacian in one part o…
From Gaussian estimates for nonlinear evolution equations to the long time behavior of branching processes
L. Beznea, L. I. Ignat, J. D. Rossi
We study solutions to the evolution equation , , in . Here the coefficients verify $ \sum_{k\geqslant 1}q_k…