192 citations · 228 across the 7 of their papers we have counts for
11 papers
Nonvariational and singular double phase problems for the Baouendi-Grushin operator
Anouar Bahrouni, Vicenţiu D. Rădulescu, Dušan D. Repovš
In this paper we introduce a new double phase Baouendi-Grushin type operator with variable coefficients. We give basic properties of the corresponding functions space and prove a c…
Least-energy nodal solutions of nonlinear equations with fractional Orlicz-Sobolev spaces
Anouar Bahrouni, Hlel Missaoui, Hichem Ounaies
In our work, we prove the existence of least-energy nodal solutions for nonlinear equations in which the new fractional Orlicz Laplacian is present. Precisely, we prove a compact e…
Algebraic topological techniques for elliptic problems involving fractional Laplacian
A. Panda, D. Choudhuri, A. Bahrouni
We prove the existence of infinitely many solutions to an elliptic problem by borrowing the techniques from algebraic topology. The solution(s) thus obtained will also be proved to…
Low perturbations for a class of nonuniformly elliptic problems
Anouar Bahrouni, Dušan D. Repovš
We introduce and study a new functional which was motivated by our paper on the Caffarelli-Kohn-Nirenberg inequality with variable exponent (Bahrouni, Rădulescu and Repovš, Nonline…
Robin fractional problems with symmetric variable growth
Anouar Bahrouni, Vicentiu Radulescu, Patrick Winkert
In this paper we study the fractional p(., .)-Laplacian and we introduce the corresponding nonlocal conormal derivative for this operator. We prove basic properties of the correspo…
Remarks on Eigenvalue Problems for Fractional -Laplacian
Anouar Bahrouni, Ky Ho
In this paper, we give some properties and remarks of the new fractional Sobolev spaces with variable exponents. We also study the eigenvalue problem involving the new fractional $…