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math.AP2020★ 30 cited
High energy positive solutions for a coupled Hartree system with Hardy-Littlewood-Sobolev critical exponents
Fashun Gao, Haidong Liu, Vitaly Moroz +1
We study the coupled Hartree system $$ \left\{\begin{array}{ll} -Δu+ V_1(x)u =α_1\big(|x|^{-4}\ast u^{2}\big)u+β\big(|x|^{-4}\ast v^{2}\big)u &\mbox{in}\ \mathbb{R}^N,\\[1mm] -Δv+…
math.AP2020★ 2 cited
Gelfand problem on a large spherical cap
Yoshitsugu Kabeya, Vitaly Moroz
We study the behaviour of the minimal solution to the Gelfand problem on a spherical cap under the Dirichlet boundary conditions. The asymptotic behaviour of the solution is discus…