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

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>

Topics & Concepts