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 |
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| 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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