Positive solutions of the semilinear Dirichlet problem with critical growth in the unit disc in R2

Adimurthi, (1989) Positive solutions of the semilinear Dirichlet problem with critical growth in the unit disc in R2 Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 99 (1). pp. 49-73. ISSN 0253-4142

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Official URL: http://www.ias.ac.in/j_archive/mathsci/99/1/49-73/...

Related URL: http://dx.doi.org/10.1007/BF02874647

Abstract

We prove the existence of a positive solution of the following problem - Δu = f(r,u) in D u>0 u=0, on ∂D where D is the unit disc in R2 and f is a superlinear function with critical growth.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Sub-critical Growth; Critical Growth; Super Critical Growth; Laplacian; Palais-smale Condition; Semilinear Dirichlet Problem; Unit Disc
ID Code:12076
Deposited On:10 Nov 2010 04:43
Last Modified:16 May 2016 21:28

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