Positive minimizers of the best constants and solutions to coupled critical quasilinear systems

DOI10.1016/j.jde.2015.08.042zbMath1332.35106OpenAlexW1467887742MaRDI QIDQ888193

Dongsheng Kang

Publication date: 4 November 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2015.08.042

zbMATH Keywords

quasilinear elliptic equationmountain pass theoremvariational methodminimizerquasilinear systemconcentration compactness principlebest Sobolev constant

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Second-order elliptic systems (35J47) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (10)

Existence of entire solutions for Schrödinger-Hardy systems involving two fractional operators ⋮ On \(G\)-invariant solutions of a singular biharmonic elliptic system involving multiple critical exponents in \(R^N\) ⋮ \(p\)-fractional Hardy-Schrödinger-Kirchhoff systems with critical nonlinearities ⋮ Existence and nonexistence of ground state solutions to singular elliptic systems ⋮ Existence and multiplicity of positive solutions to sub-elliptic systems with multiple critical exponents on Carnot groups ⋮ The Brezis–Nirenberg problem for fractional systems with Hardy potentials ⋮ Multiple symmetric results for singular quasilinear elliptic systems with critical homogeneous nonlinearity ⋮ Unnamed Item ⋮ Positive symmetric results for a weighted quasilinear elliptic system with multiple critical exponents in \(\mathbb{R}^{N}\) ⋮ Minimizers to Rayleigh quotients of critical elliptic systems involving different Hardy-type terms

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