In this paper, we are concerned with the study of a critical (p,q) equation with Hardy terms on the Heisenberg group. Existence of entire solutions is obtained via an application of some concentration-compactness type results and the mountain pass theorem. The theorems are presented in the model case of the (p,q) horizontal Laplacian equations, but the method can be extended to deal with a more general class of problems with operators of (p,q) growth.
Critical equations with Hardy terms in the Heisenberg group
Patrizia, Pucci
;
2022
Abstract
In this paper, we are concerned with the study of a critical (p,q) equation with Hardy terms on the Heisenberg group. Existence of entire solutions is obtained via an application of some concentration-compactness type results and the mountain pass theorem. The theorems are presented in the model case of the (p,q) horizontal Laplacian equations, but the method can be extended to deal with a more general class of problems with operators of (p,q) growth.File in questo prodotto:
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