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1. Existence and multiplicity results for a new p(x)-Kirchhoff problem
Mohamed Karim Hamdani, Abdellaziz Harrabi, Foued Mtiri, Dušan Repovš, 2020, original scientific article

Keywords: variable exponent, nonlocal Kirchhoff equation, p(x)-Laplacian operator, Palais-Smale condition, Mountain Pass theorem, Fountain theorem
Full text (file, 449,99 KB)

2. A weighted anisotropic variant of the Caffarelli-Kohn-Nirenberg inequality and applications
Anouar Bahrouni, Vicenţiu Rǎdulescu, Dušan Repovš, 2018, original scientific article

Keywords: p(x)-Laplace operator, Caffarelli-Kohn-Nirenberg inequality, multiple solutions, fountain theorem
Full text (file, 638,46 KB)

3. Nontrivial solutions of superlinear nonlocal problems
Giovanni Molica Bisci, Dušan Repovš, Raffaella Servadei, 2016, original scientific article

Keywords: fractional Laplacian, nonlocal problems, variational method, Fountain theorem, integrodifferential operator, superlinear nonlinearities
Full text (file, 620,65 KB)

4. 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
Full text (file, 612,81 KB)

5. Existence of solutions for systems arising in electromagnetism
Mohamed Karim Hamdani, Dušan Repovš, 2020, original scientific article

Keywords: variable exponent, p(x)-curl system, Palais Smale compactness condition, Fountain theorem, Dual Fountain theorem, existence of solutions, multiplicity of solutions, electromagnetism
Full text (file, 770,92 KB)
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