Strongly singular convective elliptic equations in $ \mathbb{R}^N $ driven by a non-homogeneous operator-Reference-Cited by-同舟云学术

Strongly singular convective elliptic equations in $ \mathbb{R}^N $ driven by a non-homogeneous operator

Published:2022 Issue:9 Volume:21 Page:3031
ISSN:1534-0392
Container-title:Communications on Pure and Applied Analysis
language:
Short-container-title:CPAA

Author:

Gambera Laura¹,Guarnotta Umberto²

Affiliation:

1. Dipartimento di Matematica e Informatica, Università degli Studi di Catania, Viale A. Doria 6, 95125 Catania, Italy

2. Dipartimento di Matematica e Informatica, Università degli Studi di Palermo, Via Archirafi 34, 90123 Palermo, Italy

Abstract

<p style='text-indent:20px;'>Existence of a generalized solution to a strongly singular convective elliptic equation in the whole space is established. The differential operator, patterned after the <inline-formula><tex-math id="M2">\begin{document}$ (p,q) $\end{document}</tex-math></inline-formula>-Laplacian, can be non-homogeneous. The result is obtained by solving some regularized problems through fixed point theory, variational methods and compactness results, besides exploiting nonlinear regularity theory and comparison principles.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Analysis,General Medicine

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