192 citations · 228 across the 11 of their papers we have counts for
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On the fractional logarithmic -Laplacian
Anouar Bahrouni, Abdelhamid Gouasmia, Hichem Hajaiej +1
In this paper, we introduce and investigate the fractional logarithmic -Laplacian , defined as the first-order derivative with respect to the parameter of…
A Unified Truncation Method for Infinitely Many Solutions Without Symmetry
Anouar Bahrouni
This paper establishes the existence of infinitely many solutions for nonlinear problems without any symmetry, achieving three major advances. First, in the setting of semilinear e…
The concentration-compactness principle for Musielak-Orlicz spaces and applications
Ala Eddine Bahrouni, Anouar Bahrouni
This paper extends the Concentration-Compactness Principle to Musielak-Orlicz spaces, working in both bounded and unbounded domains. We show that our results include important spec…
A Class of De Giorgi Type and Hölder Continuity for Some Problems in Musielak-Orlicz-Sobolev Spaces
Hlel Missaoui, Anouar Bahrouni, Hichem Ounaies
In this paper, we introduce a new class of De Giorgi type functions, denoted by \(\mathcal{B}_{G(x,t)}\), and establish the Hölder continuity of its elements under suitable additio…
Global Existence and Finite-Time Blow-Up of Solutions for Parabolic Equations Involving the Fractional Musielak -Laplacian
Rakesh Arora, Anouar Bahrouni, Nitin Kumar Maurya
In this work, we study the parabolic fractional Musielak -Laplacian equation: \begin{equation*} \left\{ \begin{aligned} u_{t} + (-Δ)_{{g}_{x,y}}^{s} u &= f(x,u), && \text{…
Double phase problems with variable exponents depending on the solution and the gradient in the whole space
Ala Eddine Bahrouni, Anouar Bahrouni, Patrick Winkert
In this paper, we establish continuous and compact embeddings for a new class of Musielak-Orlicz Sobolev spaces in unbounded domains driven by a double phase operator with variable…