no code implementations • 29 Jan 2021 • Marius Ghergu, Yasuhito Miyamoto, Vitaly Moroz
We study the existence and non-existence of classical solutions for inequalities of type $$ \pm \Delta^m u \geq \big(\Psi(|x|)*u^p\big)u^q \quad\mbox{ in } {\mathbb R}^N (N\geq 1).
Analysis of PDEs
no code implementations • 9 May 2019 • Marius Ghergu, Paschalis Karageorgis, Gurpreet Singh
We investigate the existence and nonexistence of positive solutions for the quasilinear elliptic inequality $L_\mathcal{A} u= -{\rm div}[\mathcal{A}(x, u, \nabla u)]\geq (I_\alpha\ast u^p)u^q$ in $\Omega$, where $\Omega\subset \mathbb{R}^N, N\geq 1,$ is an open set.
Analysis of PDEs
