Adimurthi, ; Yadava, S. L. (1992) Nonexistence of nodal solutions of elliptic equations with critical growth in R2 Transactions of the American Mathematical Societ, 332 (1). pp. 449-458. ISSN 0002-9947
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Official URL: http://www.ams.org/journals/tran/1992-332-01/S0002...
Related URL: http://dx.doi.org/10.1090/S0002-9947-1992-1050083-3
Abstract
Let ƒ(t) = h(t)ebt2 be a function of critical growth. Under a suitable assumption on h, we prove that -Δu = ƒ (u) in B(R) ⊂ R2 u = 0 on ∂B(R) does not admit a radial solution which changes sign for sufficiently small R.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Mathematical Society. |
| ID Code: | 60649 |
| Deposited On: | 09 Sep 2011 09:47 |
| Last Modified: | 18 May 2016 10:41 |
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