A weighted Trudinger-Moser type inequality and its applications to quasilinear elliptic problems with critical growth in the whole Euclidean space
Słowa kluczowe
Trudinger-Moser inequality, quasilinear elliptic problems, weight functions, Exponential critical growth, Mountain pass theoremAbstrakt
We establish a version of the Trudinger-Moser inequality involving unbounded or decaying radial weights in weighted Sobolev spaces. In the light of this inequality and using a minimax procedure we also study existence of solutions for a class of quasilinear elliptic problems involving exponential critical growth.Bibliografia
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