A new critical curve for the Lane-Emden system
Wenjing Chen Louis Dupaigne Marius Ghergu
We study stable positive radially symmetric solutions for the Lane-Emden system $-\Delta u=v^p$ in $\mathbb{R}^N$, $-\Delta v=u^q$ in $\mathbb{R}^N$, where $p,q\geq 1$. We obtain a new critical curve that optimally describes the existence of such solutions.
keywords: singular solutions. stable solutions critical curve radially symmetric solutions Lane-Emden system
Multiplicity of solutions for a fractional Kirchhoff type problem
Wenjing Chen
In this paper, by using the (variant) Fountain Theorem, we obtain that there are infinitely many solutions for a Kirchhoff type equation that involves a nonlocal operator.
keywords: Multiplicity fractional Laplace equation Kirchhoff type problem the variant Fountain Theorem the Fountain Theorem

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