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arXiv · 2107.05674

Existence of entire solutions for singular quasilinear convective elliptic systems

Umberto Guarnotta
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Abstract

The existence of entire solutions to quasilinear elliptic systems exhibiting both singular and convective reaction terms is discussed. An auxiliary problem, obtained by `freezing' the convection terms and `shifting' the singular ones, is first solved. Then, a priori estimates, fixed point arguments, nonlinear regularity, compactness results concerning the gradient terms, besides a regularization-localization procedure, yield the existence of a weak solution to the problem.

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Umberto Guarnotta. 2021-07-12. Existence of entire solutions for singular quasilinear convective elliptic systems. https://arxiv.org/abs/2107.05674

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