报告题目：Global multiplicity of solutions for quasilinear elliptic equations

报告简介：We consider the modified elliptic problems $-\Delta u-u \Delta u^2=a(x)u^\alpha+\lambda b(x)u^\beta$ in $\Omega$ and $-\Delta u-u\Delta u^2=\lambda a(x)u^{-\alpha}+b(x)u^\beta$ in $\Omega$ with $u(x)=0$ on $\partial\Omega$, where $\Omega\subset\mathbb{R}^N$ is a regular domain and $N\geq3$. $0<a(x)\in C(\Omega)\cap L^\infty(\Omega)$, $b(x)\in C(\Omega)\cap L^{\infty}(\Omega)$, $0<\alpha<1<\beta<\infty$ and $\lambda>0$ is a parameter. By using sub and super solutions methods and variational methods, we establish the existence of two non-trivial solutions for modified equations with appropriate exponents $\alpha$, $\beta$ and potentials $a(x)$, $b(x)$.

报告人：周家正，巴西利亚大学教授。他的研究方向是非线性偏微分方程，生物数学。 在包括Sci. China Math., Nonlinearity, Commun. Contemp. Math., Discete Contin. Dyn. Syst., Proc. Roy. Soc. Edinburgh Sect. A, Journal of Dynamics and Differential Equations 等知名刊物发表了SCI论文。

报告时间：2023年12月9日（星期六）上午 9:00-11:00

报告地点：扬州大学瘦西湖校区数学科学学院204报告厅

主办单位：扬州大学数学科学学院

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