Pierre Aime Feulefack

collaborators

4 papers

math.AP2025

Eigenvalues of nonlinear $(p, q)$ -fractional Laplace operators under nonlocal Neumann conditions

Pierre Aime Feulefack, Emmanuel Wend-Benedo Zongo

In this paper, we investigate on a bounded open set of $R^{N}$ with smooth boundary, an eigenvalue problem involving the sum of nonlocal operators $(-Î)_p^{s_1}+ (-Î)_q^{s…

math.AP2024

Bifurcation results and multiple solutions for the fractional $(p, q)$ -Laplace operators

Emmanuel Wend-Benedo Zongo, Pierre Aime Feulefack

We investigate a nonlinear nonlocal eigenvalue problem involving the sum of fractional $(p, q)$ -Laplace operators $(- I^)_{p}^{s_{1}} + (- I^)_{q}^{s_{2}}$ with $s_{1}, s_{2} \in (0, 1)$ ; $p,q\in(1,\i…

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 $L := - I^ + (- I^)^{s} + q \cdot \nabla$ ~ in a bounded domain $I^c ◯ \subset R^{N},$ where a Dirichlet condition is p…

math.AP2024

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…

Eigenvalues of nonlinear (p,q)-fractional Laplace operators under nonlocal Neumann conditions

Bifurcation results and multiple solutions for the fractional (p,q)-Laplace operators

The principal eigenvalue of a mixed local and nonlocal operator with drift

Existence and regularity results for a Neumann problem with mixed local and nonlocal diffusion

Eigenvalues of nonlinear $(p, q)$ -fractional Laplace operators under nonlocal Neumann conditions

Bifurcation results and multiple solutions for the fractional $(p, q)$ -Laplace operators