会议论文详细信息
Physics and Mathematics of Nonlinear Phenomena 2013 | |
On singular elliptic equations involving critical Sobolev exponent | |
Tahri, K.^1 | |
Preparatory School in Economics, Business and Management Sciences Department of Mathematics, B.P 1085 Bouhannak, Tlemcen, Algeria^1 | |
关键词: Critical sobolev exponent; Lebesgue space; Riemannian manifold; Semilinear elliptic equation; Singular elliptic equation; Strong solution; | |
Others : https://iopscience.iop.org/article/10.1088/1742-6596/482/1/012040/pdf DOI : 10.1088/1742-6596/482/1/012040 |
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来源: IOP | |
【 摘 要 】
Given a n-dimensional compact Riemannian manifold (M, g) with n ≥ 5, we consider the following semi-linear elliptic equation: where the functions a, b and h are in suitable Lebesgue spaces, 20 a real parameter, f is a smooth positive function and the operator Pgis coercive. Under some additional conditions, we obtain results concering the existence of strong solutions of the above equation in H22(M).
【 预 览 】
Files | Size | Format | View |
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On singular elliptic equations involving critical Sobolev exponent | 550KB | download |