10 citations · 26 across the 19 of their papers we have counts for
21 papers · 1 filter
Ergodic pairs for fractional Hamilton-Jacobi equations on bounded domains: large solutions
Alexander Quaas, Erwin Topp
In this article, we study the ergodic problem associated to viscous Hamilton-Jacobi equation where the diffusion is governed by the censored fractional Laplacian, a nonlocal ellipt…
On fractional quasilinear equations with elliptic degeneracy
Damião J. Araújo, Disson dos Prazeres, Erwin Topp
In this work, we present a systematic approach to investigate the existence, multiplicity, and local gradient regularity of solutions for nonlocal quasilinear equations with local…
Large harmonic functions for fully nonlinear fractional operators
Gonzalo Dávila, Alexander Quaas, Erwin Topp
We study existence, uniqueness and boundary blow-up profile for fractional harmonic functions on a bounded smooth domain . We deal with harmonic functions ass…
Sign-changing solutions for the sinh-Poisson equation with Robin Boundary condition
Pablo Figueroa, Leonelo Iturriaga, Erwin Topp
Given and , we address the existence of solutions for the Sinh-Poisson equation with Robin boundary value condition $$ \begin{cases} Δu+ε^2 (e^{u} - e^{-u})=0 &\…
Periodic homogenization of the principal eigenvalue of second-order elliptic operators
Gonzalo Dávila, Andrei Rodríguez-Paredes, Erwin Topp
In this paper we investigate homogenization results for the principal eigenvalue problem associated to -homogeneous, uniformly elliptic, second-order operators. Under rather gen…
On large solutions for fractional Hamilton-Jacobi equations
Gonzalo Dávila, Alexander Quaas, Erwin Topp
We study the existence of large solutions for nonlocal Dirichlet problems posed on a bounded, smooth domain, associated to fully nonlinear elliptic equations of order , with $s…