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2. Multiplicity of solutions for a class of fractional ▫$p(x, \cdot)$▫-Kirchhoff-type problems without the Ambrosetti-Rabinowitz conditionMohamed 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) |
3. Multiple solutions of double phase variational problems with variable exponentXiayang Shi, Vicenţiu Rǎdulescu, Dušan Repovš, Qihu Zhang, 2020, izvirni znanstveni članek Ključne besede: variable exponent elliptic operator, integral functionals, variable exponent Orlicz-Sobolev spaces, critical point Celotno besedilo (datoteka, 679,49 KB) |
4. The Neumann problem for a class of generalized Kirchhoff-type potential systemsNabil 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... |
5. Anisotropic $(p,q)$-equations with convex and negative concave termsNikolaos S. Papageorgiou, Dušan Repovš, Calogero Vetro, 2023, samostojni znanstveni sestavek ali poglavje v monografski publikaciji Ključne besede: variable Lebesgue spaces, variable Sobolev spaces, variable ▫$(p,q)$▫-operator, regularity theory, local minimizer, critical point theory Celotno besedilo (datoteka, 347,45 KB) Gradivo ima več datotek! Več... |
6. Fractional Sobolev spaces with kernel function on compact Riemannian manifoldsAhmed Aberqi, Abdesslam Ouaziz, Dušan Repovš, 2024, izvirni znanstveni članek Ključne besede: nonlinear elliptic problem, fractional Sobolev spaces, kernel function, Lévy-integrability condition, compact Riemannian manifolds, existence of solutions, topological degree theory Celotno besedilo (datoteka, 503,36 KB) Gradivo ima več datotek! Več... |
7. On the concentration-compactness principle for anisotropic variable exponent Sobolev spaces and its applicationsNabil Chems Eddine, Maria Alessandra Ragusa, Dušan Repovš, 2024, izvirni znanstveni članek Ključne besede: Sobolev embeddings, concentration-compactness principle, anisotropic variable exponent Sobolev spaces, p(x)-Laplacian, fractional Brezis-Nirenberg problem Celotno besedilo (datoteka, 541,20 KB) Gradivo ima več datotek! Več... |