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math.AP2024
The principal eigenvalue of a mixed local and nonlocal operator with drift
Craig Cowan, Mohammad El Smaily, Pierre Aime Feulefack
We study the eigenvalue problem involving the mixed local-nonlocal operator ~ in a bounded domain where a Dirichlet condition is pose…
math.AP2024★ 2 cited
Existence and regularity results for a Neumann problem with mixed local and nonlocal diffusion
Craig Cowan, Mohammad El Smaily, Pierre Aime Feulefack
In this paper, we consider an elliptic problem driven by a mixed local-nonlocal operator with drift and subject to nonlocal Neumann condition. We prove the existence and uniqueness…
math.AP2024★ 2 cited
Bifurcation results and multiple solutions for the fractional -Laplace operators
Emmanuel Wend-Benedo Zongo, Pierre Aime Feulefack
We investigate a nonlinear nonlocal eigenvalue problem involving the sum of fractional -Laplace operators with ; $p,q\in(1,\inf…