In this paper, we establish a new singular Trudinger–Moser type inequality for radial Sobolev spaces with logarithmic weights.
The existence of nontrivial solutions is proved for an elliptic equation defined in {\mathbb{R}^{n}}, relying on variational methods and involving a nonlinearity with doubly exponential growth at infinity.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.