Multiple positive solutions for a critical quasilinear elliptic system with concave–convex nonlinearities
By Tsing-San Hsu. 2009
104 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/915f459980cd74ad6f162a990dc719ad7b1ce9f0
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In Applied Mathematics
In Computational Theory and Mathematics
Citations in the corpus
- Critical Nonlocal Systems with Concave-Convex Powers (2016, background): “In particular, Hsu [16] obtainedmultiple solutions for the following critical elliptic system: {{{{{{ {{{{{{ { −∆pu = λ|u|q−2u + 2α α + β |u|α−2u|v|β in Ω, −∆pv = μ|v|q−2v + 2β α + β |u|α|v|β−2v in Ω, u = v = 0 on ∂Ω, where q < p and α > 1, β > 1 satisfy α + β = npn−p .”