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Št. zadetkov: 5
Existence and nonexistence of solutions for p(x)-curl systems arising in electromagnetism
Anouar Bahrouni, Dušan Repovš
Izvirni znanstveni članek
Oznake: partial differential equations;p(x)-Curl systems;nonexistence of solutions;critical point theory;electromagnetism;
In this paper, we study the existence and the nonexistence of solutions for a new class of ▫$p(x)$▫-curl systems arising in electromagnetism. This work generalizes some results obtained in the ▫$p$▫- curl case. There seems to be no results on the nonexistence of solutions for curl systems with varia ...
Leto: 2018 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Low perturbations for a class of nonuniformly elliptic problems
Anouar Bahrouni, Dušan Repovš
Izvirni znanstveni članek
Oznake: Caffarelli-Kohn-Nirenberg inequality;eigenvalue problem;critical point theorem;generalized Lebesgue-Sobolev space;Luxemburg norm;
In this paper, we introduce and study a new functional which was motivated by the work of Bahrouni et al. (Nonlinearity 31:1518-1534, 2018) on the Caffarelli-Kohn-Nirenberg inequality with variable exponent. We also study the eigenvalue problem for equations involving this new functional.
Leto: 2020 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves
Anouar Bahrouni, Vicenţiu Rǎdulescu, Dušan Repovš
Izvirni znanstveni članek
Oznake: Baouendi-Grushin operator;Caffarelli-Kohn-Nirenberg inequality;transonic flow;nonlinear eigenvalue problem;variable exponent;
In this paper we are concerned with a class of double phase energy functionals arising in the theory of transonic flows. Their main feature is that the associated Euler equation is driven by the Baouendi-Grushin operator with variable coefficient. This partial differential equation is of mixed type ...
Leto: 2019 Vir: Fakulteta za matematiko in fiziko (UL FMF)
ǂA ǂweighted anisotropic variant of the Caffarelli-Kohn-Nirenberg inequality and applications
Anouar Bahrouni, Vicenţiu Rǎdulescu, Dušan Repovš
Izvirni znanstveni članek
Oznake: p(x)-Laplace operator;Caffarelli-Kohn-Nirenberg inequality;multiple solutions;fountain theorem;
We present a weighted version of the Caffarelli-Kohn-Nirenberg inequality in the framework of variable exponents. The combination of this inequality with a variant of the fountain theorem, yields the existence of infinitely many solutions for a class of non-homogeneous problems with Dirichlet bounda ...
Leto: 2018 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Nonvariational and singular double phase problems for the Baouendi-Grushin operator
Anouar Bahrouni, Vicenţiu Rǎdulescu, Dušan Repovš
Izvirni znanstveni članek
Oznake: Baouendi-Grushin operator;double-phase problem;singular term;existence of solutions;
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 compactness result. In the second part, using topological argument, we prove the existence of weak solutions of some nonv ...
Leto: 2021 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Št. zadetkov: 5
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