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Estimation Of Boundary Blow - Up For A Class Of Quasilinear Elliptic Equations

Posted on:2017-02-21Degree:MasterType:Thesis
Country:ChinaCandidate:X B LinFull Text:PDF
GTID:2270330488997621Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
In this paper, we investigate the estimates for radial solutions and boundary blowup solutions of p-Laplacian type quasilinear elliptic equations and where the Ω(?)RN be a bounded smooth domain, N≥2, p> 1, and m+1> p-1 in the equation (0.0.1), m+q> p-1,0< q< 1 in the equation (0.0.2). Under the conditions on p and m, we find the estimates of the solution u interms of the distance from x to the boundary (?)Ω.Our work is arranged as follows. In chapter 1, we introduce the developments status of the boundary blowup problems, and the main results. In chapter 2, we estab-lish the existence of boundary blowup solutions. In chapter 3, we obtain the estimates for radial solutions and boundary blowup solutions.
Keywords/Search Tags:quasilinear elliptic equation, boundary blow-up solution, esti- mates
PDF Full Text Request
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