Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
Prof. Xiangsheng Xu, Mississippi State University
Inviter:
许现民
Title:
Existence Theorems for a fourth-order nonlinear elliptic equation featuring the P-Laplace Operator
Time & Venue:
2018.5.11 9:00-10:00 Z311
Abstract:
In this talk, we investigate the existence assertion for the boundary value problem for the equation _ediv(jrujp2ru) + au = f, where p > 1; a > 0 are given numbers and f is a given function. This problem is derived from a crystal surface model proposed by J.L. Marzuola and J. Weare (2013 Physical Review, E 88, 032403). The mathematical challenge is due to the fact that the principal term in our equation is an exponential function of a p-Laplacian. As a result, a prior etimates are lacking. In spite of this, we have managed to design an approximation scheme, which enables us to obtain an existence theory for the problem.