1. Stationary waves of Schrödinger-type equations with variable exponent
Dušan Repovš, 2015, izvirni znanstveni članek

Ključne besede: Lebesgue-Sobolev spaces with variable exponent, fountain theorem, mountain pass geometry, Leray-Lions operators, hemivariational inequality, resonance
Celotno besedilo (datoteka, 612,81 KB)

3. Multiplicity of solutions for a class of fractional ▫$p(x, \cdot)$▫-Kirchhoff-type problems without the Ambrosetti-Rabinowitz condition
Mohamed Karim Hamdani, Jiabin Zuo, Nguyen Thanh Chung, Dušan Repovš, 2020, izvirni znanstveni članek

Ključne besede: fractional ▫$p(x,\cdot)$▫-Kirchhoff-type problems, ▫$p(x,\cdot)$▫-fractional Laplace operator, Ambrosetti-Rabinowitz type conditions, symmetric mountain pass theorem, Cerami compactness condition, fractional Sobolev spaces with variable exponent, multiplicity of solutions
Celotno besedilo (datoteka, 483,22 KB)

5. The Neumann problem for a class of generalized Kirchhoff-type potential systems
Nabil Chems Eddine, Dušan Repovš, 2023, izvirni znanstveni članek

Ključne besede: 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
Celotno besedilo (datoteka, 1,81 MB) Gradivo ima več datotek! Več...

7. Embeddings of anisotropic Sobolev spaces into spaces of anisotropic Hölder-continuous functions
Nabil Chems Eddine, Dušan Repovš, 2024, izvirni znanstveni članek

Ključne besede: anisotropic variable exponent Sobolev spaces, critical Sobolev exponent, Sobolev embeddings, anisotropic Hölder-continuous functions, continuous embedding
Celotno besedilo (datoteka, 2,34 MB) Gradivo ima več datotek! Več...