3 papers
math.DG2026
The role of the mean curvature in nonlinear p-Laplacian problems with critical exponent
Hichem Chtioui, Hichem Hajaiej, Lovelesh Sharma
We deal with critical nonlinear problems involving the p-Laplacian operator on bounded domains with mixed boundary conditions. We prove the existence of least energy solutions. Our…
math.AP2026
The effect of boundary geometry in nonlocal critical problems with Hardy-Littlewood-Sobolev exponent
Hichem Chtioui, Tuhina Mukherjee, Lovelesh Sharma
In this paper we consider a mixed Dirichlet-Neumann boundary value problem. lem involving Choquard nonlinearity with upper critical exponent in the sense of Hardy- Littlewood Sobol…
math.AP2025
Nonlocal Choquard equations involving critical Hardy-Littlewood-Sobolev exponent: the effect of the topology of the domain
Mohammed Ali Mohammed Alghamdi, Hichem Chtioui
We apply a topological method to prove existence of positive solutions for the nonlineair Choquard equation with upper critical exponent in the sense of Hardy-Littlewood-Sobolev in…