Salah Boulaaras

NONLOCAL FRACTIONAL P $(Z, Y)$ -LAPLACIAN PROBLEMS WITH VARIABLE EXPONENTS: EXISTENCE RESULTS AND A NUMERICAL ILLUSTRATION

In this work, we study the existence of weak solutions for a class of nonlocal problems driven by the fractional $ \mathbf{p}(z, y) $-Laplacian operator with spatially variable exponents. The considered model includes a nonlinear source term depending simultaneously on local inte...

MULTIPLE SOLUTIONS FOR NONLOCAL FOURTH-ORDER VARIABLE EXPONENT KIRCHHOFF PROBLEMS WITH WEIGHTED HARDY–RELLICH POTENTIALS AND NONLINEAR ROBIN BOUNDARY CONDITIONS

In this paper, we investigate the existence and multiplicity of weak solutions for a class of nonlocal fourth-order Leray–Lions–Kirchhoff problems with variable exponent growth, weighted Hardy–Rellich singular potentials with logarithmic corrections, and nonlinear Robin boundary...