Sharaf Khadijah: A note on a second order PDE with critical nonlinearity. (2019)
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Abstract
In this work, we are interested in a nonlinear PDE of the form: −∆u = K(x)u n+2 n−2 , u > 0 on Ω and u = 0 on ∂Ω, where n ≥ 3 and Ω is a regular bounded domain of Rn . Following the results of [K. Sharaf, Appl. Anal. 96(2017), No. 9, 1466– 1482] and [K. Sharaf, On an elliptic boundary value problem with critical exponent, Turk. J. Math., to appear], we provide a full description of the loss of compactness of the problem and we establish a general index account formula of existence result, when the flatness order of the function K at any of its critical points lies in (1, ∞).
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2019 |
| Number: | 10 |
| ISSN: | 1417-3875 |
| Page Range: | pp. 1-16 |
| DOI: | 10.14232/ejqtde.2019.1.10 |
| Uncontrolled Keywords: | Differenciálegyenlet - nemlineáris |
| Additional Information: | Bibliogr.: p. 14-16. ; összefoglalás angol nyelven |
| Date Deposited: | 2019. May. 31. 06:30 |
| Last Modified: | 2021. Sep. 16. 10:42 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/58107 |
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