6 papers
On Neumann -Laplacian Lane-Emden equations and their asymptotic relationship with relative isoperimetric problems
Sean McCurdy, Alberto Saldaña, Delia Schiera
We consider a family of pure Neumann -Laplacian problems, including eigenvalue problems, Lane-Emden type equations, and extremal cases such as sign nonlinearities and the -La…
Analysis of an Emden-Fowler-Hénon type equation
Pablo dos Santos Corrêa Junior, Ederson Moreira dos Santos, Delia Schiera
This work investigates a Hénon-type equation with the cap-shaped weight , which concentrates on the sphere of radius as . Particular…
Sublinear elliptic equations with a sharp change of sign in the nonlinearity
Mónica Clapp, Alberto Saldaña, Delia Schiera
We study the semilinear indefinite elliptic problem \[ -Îu = Q_Ω|u|^{p-2}u \quad \text{in } \mathbb{R}^N, \] where , $Ω\subset \math…
Least Energy Solutions for Cooperative and Competitive Schrödinger Systems with Neumann Boundary Conditions
Simone Mauro, Delia Schiera, Hugo Tavares
We study the following gradient elliptic system with Neumann boundary conditions \begin{equation*} -Îu + λ_1 u = u^3 + βuv^2, \ -Îv + λ_2 v = v^3 + βu^2 v \ \text{in } Ω,\qq…
Corrigendum to "Spectral optimization for weighted anisotropic problems with Robin conditions" [J. Differ. Equ. 378, 303--338, 2024]
B. Pellacci, G. Pisante, D. Schiera
The goal of this note is to fill a gap in the proof of the first two items of Theorem 5.1 in [4], which relies on Polya type inequalities and the characterization of the equality c…
On least energy solutions to a pure Neumann Lane-Emden system: convergence, symmetry breaking, and multiplicity
Alberto Saldaña, Delia Schiera, Hugo Tavares
We consider the following Lane-Emden system with Neumann boundary conditions \[ -Îu= |v|^{q-1}v \text{ in } Ω,\qquad -Îv= |u|^{p-1}u \text{ in } Ω,\qquad \partial_νu=\partial_…