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Positive symmetric results for a weighted quasilinear elliptic system with multiple critical exponents in RN$\mathbb{R}^{N}$

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This work focuses on the symmetric solutions for a weighted quasilinear elliptic system involving multiple critical exponents in RN$\mathbb{R}^{N}$. Based upon the Caffarelli-Kohn-Nirenberg inequality and the symmetric criticality principle due… Click to show full abstract

This work focuses on the symmetric solutions for a weighted quasilinear elliptic system involving multiple critical exponents in RN$\mathbb{R}^{N}$. Based upon the Caffarelli-Kohn-Nirenberg inequality and the symmetric criticality principle due to Palais, we prove a variety of symmetric results under certain appropriate hypotheses on the singular potentials and the parameters.

Keywords: weighted quasilinear; exponents mathbb; multiple critical; critical exponents; elliptic system; quasilinear elliptic

Journal Title: Boundary Value Problems
Year Published: 2017

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