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arxiv: 1803.05687 · v1 · pith:RXLBLNZXnew · submitted 2018-03-15 · 🧮 math.AP

A weighted anisotropic variant of the Caffarelli-Kohn-Nirenberg inequality and applications

Anouar Bahrouni , Vicen\c{t}iu D. R\u{a}dulescu , Du\v{s}an D. Repov\v{s} This is my paper
classification 🧮 math.AP
keywords inequalitycaffarelli-kohn-nirenbergvariantweightedanisotropicapplicationsboundaryclass
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We 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.

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