A variational approach to the equation $$\Delta u + Ku^{\frac{{n + 2}}{{n - 2}}} = 0$$ in R n
Author:
Publisher
Springer Science and Business Media LLC
Subject
Mechanical Engineering,Mathematics (miscellaneous),Analysis
Link
http://link.springer.com/content/pdf/10.1007/BF00378166.pdf
Reference13 articles.
1. A. Bahri & J.-M. Coron, The Scalar-Curvature Problem on the Standard Three-dimensional Sphere. J. Funct. Anal. 95 (1991) 106?172.
2. G. Bianchi & H. Egnell, Local Existence and Uniqueness of Positive Solutions of the Equation $$\Delta u + (1 + \varepsilon \varphi )u^{\frac{{n + 2}}{{n - 2}}} = 0$$ , in R n and a Related Equation. In: N. G. Lloyd, W. M. Ni, L. A. Peletier & J. Serrin (eds.) Nonlinear Diffusion Equations and their Equilibrium States. Proceeedings, Gregynog 1989, pp. 111?128, Birkhäuser, 1992.
3. G. Bianchi & H. Egnell, An ODE Approach to the Equation $$\Delta u + Ku^{\frac{{n + 2}}{{n - 2}}} = 0$$ , in R n. Math. Z. 210 (1992) 137?166.
4. G. Bianchi & H. Egnell, A Note on the Sobolev Inequality. J. Funct. Anal. 100 (1991) 18?24.
5. A. Chang & P. Yang, A Perturbation Result in Prescribing Scalar Curvature on S n. Preprint.
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