Existence of Solutions for Quasilinear Elliptic Equations with Unbounded Coefficients on RN

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Abstract

" In this paper a class of p-Laplace type elliptic equations with unbounded coefficients on R^N is considered. It is proved that there exist radial solutions on R^N. On sufficiently large ball, radial and nonradial solutions are obtained. Finally, some necessary conditions for the existence of solutions are given."

Keywords:

Radial and nonradial solutions;singular minimization problem;Derrick-Pohozaev identity;Caffarelli-Kohn-Nirenberg inequality
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Existence of Solutions for Quasilinear Elliptic Equations with Unbounded Coefficients on RN. (2008). Journal of Partial Differential Equations, 21(2), 112-122. https://www.global-sci.com/index.php/jpde/article/view/14903

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