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On singularly perturbed $(p, n )$-Laplace Schr\"{o}dinger equation with logarithmic nonlinearity

On singularly perturbed $(p, n )$-Laplace Schr\"{o}dinger equation with logarithmic nonlinearity

This article focuses on the study of the existence, multiplicity and concentration behavior of ground states as well as the qualitative aspects of positive solutions for a $(p, N)$-Laplace Schr\"{o}dinger equation with logarithmic nonlinearity and critical exponential nonlinearity in the sense of Trudinger-Moser in the whole Euclidean space $\mathbb{R}^N$. Through …