4 papers · 1 filter
Multiple critical points theorems for a class of nonsmooth functionals and applications to problems driven by 1-Laplacian and discontinuous nonlinearities
Ismael Sandro da Silva, Marcos T. Oliveira Pimenta, Pedro Fellype Pontes
In this paper, we present a novel approach to investigate the existence of multiple critical points for a class of nonsmooth functionals. This method provides a robust framework to…
Lipschitz regularity of weakly coupled vectorial almost-minimizers for Alt-Caffarelli functionals in Orlicz spaces
Pedro Fellype Pontes, João Vitor da Silva, Minbo Yang
For a fixed constant and a bounded Lipschitz domain with , we establish that almost-minimizers (functions satisfying a sort of variationa…
Boundary regularity of weakly coupled vectorial almost-minimizers for Alt-Caffarelli functionals with non-standard growth
Pedro Fellype Pontes, João Vitor da Silva, Minbo Yang
For a fixed constant and a bounded Lipschitz domain with , we establish that almost-minimizers (functions satisfying a sort of variationa…
Regularity theory for mixed local-nonlocal problem involving general stable operators
Pedro Fellype Pontes, Minbo Yang
In this paper, we study the regularity of solutions to a linear elliptic equation involving a mixed local-nonlocal operator of the form $$Lu - \operatorname{div}\big(a(x)\nabla u(x…