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Prescribing Scalar Curvature on S3, S4 and Related Problems by Y.Y. Li is a Mathematics article available to read on EtoBox.
What is Prescribing Scalar Curvature on S3, S4 and Related Problems about?
We show that for the prescribing scalar curvature problem on \(\mathbf{S}^{n}(n=3,4)\), we can perturb (in an explicit way) any given positive continuous function in any neighborhood of any given point on \(S^{\prime \prime}\) such that for the perturbed function there exist many solutions. The related critical exponent equations \(-\Delta u=\) \(K(x) u^{(n+2):(n-2)}\) in \(\mathbf{R}^{n}(n=3,4)\), with \(K(x)\) being asymptotically periodic in one of the variables, are also studied and infinitely many positive solutions (modulo translations by its periods) are obtained under some additional mild hypotheses on \(K(x)\). Some a priori estimates to solutions of the prescribing scalar curvature problem on \(\mathbf{S}^{3}\) are as given. 1993 Academic Press. Inc.
Who reads Prescribing Scalar Curvature on S3, S4 and Related Problems?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Y.Y. Li
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0022-1236)
- Published
- 1993
- Language
- EN
- Field
- Mathematics (Physical Sciences)