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Št. zadetkov: 4
ǂThe ǂNeumann problem for a class of generalized Kirchhoff-type potential systems
Nabil Chems Eddine, Dušan Repovš
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Oznake: Kirchhoff-type problems;Neumann boundary conditions;p(x)-Laplacian operator;generalized capillary operator;Sobolev spaces with variable exponent;critical Sobolev exponents;concentration–compactness principle;critical point theory;truncation technique;
In this paper, we are concerned with the Neumann problem for a class of quasilinear stationary Kirchhoff-type potential systems, which involves general variable exponents elliptic operators with critical growth and real positive parameter. We show that the problem has at least one solution, which co ...
Leto: 2023 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Generalized noncooperative Schrödinger-Kirchhoff-type systems in R[sup]N
Nabil Chems Eddine, Dušan Repovš
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Oznake: concentration–compactness principle;critical points theory;critical Sobolev exponents;generalized capillary operator;limit index theory;p-Laplacian;p(x)-Laplacian;Palais–Smale condition;Schrödinger-Kirchhoff-type problems;weighted exponent spaces;
We consider a class of noncooperative Schrödinger-Kirchhof-type system, which involves a general variable exponent elliptic operator with critical growth. Under certain suitable conditions on the nonlinearities, we establish the existence of infinitely many solutions for the problem by using the lim ...
Leto: 2024 Vir: Pedagoška fakulteta (UL PEF)
Embeddings of anisotropic Sobolev spaces into spaces of anisotropic Hölder-continuous functions
Nabil Chems Eddine, Dušan Repovš
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Oznake: anisotropic variable exponent Sobolev spaces;critical Sobolev exponent;Sobolev embeddings;anisotropic Hölder-continuous functions;continuous embedding;
We introduce a novel framework for embedding anisotropic variable exponent Sobolev spaces into spaces of anisotropic variable exponent Hölder-continuous functions within rectangular domains. We establish a foundational approach to extend the concept of Hölder continuity to anisotropic settings with ...
Leto: 2024 Vir: Repozitorij Univerze v Ljubljani (RUL)
On the concentration-compactness principle for anisotropic variable exponent Sobolev spaces and its applications
Nabil Chems Eddine, Maria Alessandra Ragusa, Dušan Repovš
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Oznake: Sobolev embeddings;concentration-compactness principle;anisotropic variable exponent Sobolev spaces;p(x)-Laplacian;fractional Brezis-Nirenberg problem;
We obtain critical embeddings and the concentration-compactness principle for the anisotropic variable exponent Sobolev spaces. As an application of these results,we confirm the existence of and find infinitely many nontrivial solutions for a class of nonlinear critical anisotropic elliptic equation ...
Leto: 2024 Vir: Digitalni repozitorij raziskovalnih organizacij Slovenije
Št. zadetkov: 4
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