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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the classification of entire solutions to the critical p-Laplace equation
临界 p-拉普拉斯方程 整个解 分类
2023/5/9
In this talk, we will focus on the classification of positive solutions to the critical p-Laplace equation. It is well known that such issue is crucial in many applications such as a priori estimates,...
Three solutions to a class of p(x)-Laplace equation based on Nehari skill
Critical points p(x)-Laplacian Integral functional Generalized Lebesgue-Sobolev spaces
2011/10/10
In this paper, we show the existence of at least three nontrivial solutions to the quasilinear elliptic equation-p(x)-Laplacian equation in a smooth bounded domain with nonlinear boundary condition or...
Boundary integral operator for the fractional Laplace equation in a bounded Lipschitz domain
boundary integral operator layer potential fractional Laplacian bounded Lipschitz domain
2011/8/25
Abstract: We study the boundary integral operator induced from fractional Laplace equation in a bounded Lipschitz domain. As an application, we study the boundary value problem of a fractional Laplace...
Increasing variational solutions for a nonlinear $p$-laplace equation without growth conditions
variational solutions nonlinear $p$-laplace equation
2010/12/7
By means of a recent variational technique, we prove the existence of radially monotone solutions to a class of nonlinear problems involving the p-Laplace operator. No subcriticality condition (in the...