A weighted anisotropic variant of the Caffarelli-Kohn-Nirenberg inequality and applicationsBahrouni, Anouar (Avtor) Rǎdulescu, Vicenţiu (Avtor) Repovš, Dušan (Avtor) p(x)-Laplace operatorCaffarelli-Kohn-Nirenberg inequalitymultiple solutionsfountain theoremWe present a weighted version of the Caffarelli-Kohn-Nirenberg inequality in the framework of variable exponents. The combination of this inequality with a variant of the fountain theorem, yields the existence of infinitely many solutions for a class of non-homogeneous problems with Dirichlet boundary condition.20182019-08-30 11:47:36Članek v reviji109335UDK: 517.956.2ISSN pri članku: 0951-7715DOI: 10.1088/1361-6544/aaa5ddCOBISS_ID: 18282329OceCobissID: 28749569sl