关于$p$-Laplace 方程应用的一些文献

热度 1已有 457 次阅读2011-6-5 11:36 |个人分类:科研信息

1. Riemann 度量中的共性变形理论:
[1]  J.L. Kazdan, Prescribing the Curvature of a Riemannian Manifold, CBMS Reg. Conf. Ser. Math., vol. 57, Amer. Math. Soc., Providence, RI, 1985.
 
2. 几何函数论:
[2] I. Holopainen, P. Pankka, $p$-Laplace operator, quasiregular mappings and Picard-type theorems, in: S. Ponnusamy, T. Sugawa, M. Vuorinen (Eds.), Quasiconformal Mappings and Their Applications, Narosa Publishing House, New Delhi, 2007, pp. 117–150.
 
3. 连续力学:
[4] P.G. Ciarlet, Mathematical Elasticity, vol. I. Three-Dimensional Elasticity, North-Holland, Amsterdam, 1988.
[5] J.I. Diaz, Nonlinear Partial Differential Equations and Free Boundaries, vol. I. Elliptic Equations, Res. Notes Math., vol. 106, Pitman, Boston, MA, 1985.
 
4. 量子力学和场论:
[6] H. Berestycki, P.L. Lions, Nonlinear scalar field equations, Arch. Ration. Mech. Anal. 82 (1983) 313–375.
[7] W. Strauss, Existence of solitary waves in higher dimensions, Comm. Math. Phys. 55 (1977) 149–162.
 
5. 天体物理学:
[8] S. Chandrasekhar, Introduction to the Theory of Stellar Structure, Univ. of Chicago Press, 1939; reprinted by Dover,New York, 1957.
[9] Y. Li, W.M. Ni, On the existence and symmetry properties of finite total mass solutions of the Matukuma equation, the Eddington equation, and their generalizations, Arch. Ration. Mech. Anal. 108 (1989) 175–194.
 
6. 冰川学:
[10] M.-C. Pélissier, L. Reynaud, Étude d’un modèle mathématique d’écoulement de glacier, C. R. Acad. Sci. Paris Sér. A 279 (1974) 531–534.
 
7. 人口遗传学:
[11] D.G. Aronson, H.F.Weinberger,Multidimensional nonlinear diffusion arising in population genetics, Adv. Math. 30 (1978) 33–76.
 

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