1. Stationary waves of Schrödinger-type equations with variable exponent
Dušan Repovš, 2015, original scientific article

Keywords: Lebesgue-Sobolev spaces with variable exponent, fountain theorem, mountain pass geometry, Leray-Lions operators, hemivariational inequality, resonance
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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, original scientific article

Keywords: 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
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5. The Neumann problem for a class of generalized Kirchhoff-type potential systems
Nabil Chems Eddine, Dušan Repovš, 2023, original scientific article

Keywords: 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
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7. Embeddings of anisotropic Sobolev spaces into spaces of anisotropic Hölder-continuous functions
Nabil Chems Eddine, Dušan Repovš, 2024, original scientific article

Keywords: anisotropic variable exponent Sobolev spaces, critical Sobolev exponent, Sobolev embeddings, anisotropic Hölder-continuous functions, continuous embedding
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