EXISTENCE OF POSITIVE RADIAL SOLUTIONS FOR SOME SEMILINEAR ELLIPTIC EQUATIONS IN ANNULUS

Applying Krasnosel' skii fixed point theorem of cone expansion-compression type,the existence of positive radial solutions for some second-order nonlinear elliptic equations inannular domains, subject to Dirichlet boundary conditions, is investigated. By consideringthe properties of nonlinear t...

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Bibliographic Details
Published inApplied mathematics and mechanics Vol. 23; no. 12; pp. 1452 - 1457
Main Author YAO Qing-liu(姚庆六) MA Qin-sheng(马勤生)
Format Journal Article
LanguageEnglish
Published Department of Applied Mathematics, Nanjing University of Economics,Nanjing 210003, P R China %College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, P R China 01.12.2002
Subjects
annular
domain
elliptic
equation
positive
radial
second-order
solution
annular domain
second-order elliptic equation
positive radial solution
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ISSN0253-4827
1573-2754
DOI10.1007/BF02438385

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Summary:Applying Krasnosel' skii fixed point theorem of cone expansion-compression type,the existence of positive radial solutions for some second-order nonlinear elliptic equations inannular domains, subject to Dirichlet boundary conditions, is investigated. By consideringthe properties of nonlinear term on boundary closed intervals, several existence results ofpositive radial solutions are established. The main results are independent of superlineargrowth and sublinear growth of nonlinear term. If nonlinear term has extreme values andsatisfies suitable conditions, the main results are very effective.
Bibliography:O175.25
O175.8
31-1650/O1
ISSN:0253-4827
1573-2754
DOI:10.1007/BF02438385