By Yu. I. Manin

ISBN-10: 0444878238

ISBN-13: 9780444878236

Due to the fact that this publication was once first released in English, there was vital development in a couple of similar themes. the category of algebraic types on the subject of the rational ones has crystallized as a normal area for the equipment constructed and expounded during this quantity. For this revised variation, the unique textual content has been left intact (except for a number of corrections) and has been mentioned so far through the addition of an Appendix and up to date references. The Appendix sketches one of the most crucial new effects, buildings and concepts, together with the strategies of the Luroth and Zariski difficulties, the idea of the descent and obstructions to the Hasse precept on rational kinds, and up to date functions of K-theory to mathematics.

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Stuart, Exponential decay of the solutions of quasilinear second-order equations and Pohozaev identities, J. Differential Equations, 165, (2000), No. 10–12, 199–234. [25] P. H. Rabinowitz, On a class of nonlinear Schr¨ odinger equations, Z. Angew. Math. , 43, No. 2, 270–291 (1992) [26] J. Serrin, M. Tang, Uniqueness of ground states for quasilinear elliptic equations, Indiana Univ. Math. , 49, (2000), 897–923. [27] M. , in press. [28] G. Strang. Linear algebra and its applications. Academic Press, 1980.

Existence of a ground state. Arch. Rational Mech. , 82, (1983), 313–346. [6] K. C. Chang, Infinite dimensional Morse theory and multiple solutions problems, Birkh¨auser, 1993. [7] C. C. Chen, C. S. Lin, Uniqueness of the ground state solutions of ∆u + f (u) = 0 in RN , n ≥ 3, Commun. Partial Differ. Equations, 16, No. 8/9, (1991), 1549–1572. [8] S. Cingolani, M. Lazzo, Multiple positive solutions to nonlinear Schr¨odinger equations with competing potential functions, Journal of Diff. , 160, (2000), 118–138.

Inst. Henri Poincar´e, Anal. Non Linaire, 15, No. 2, (1998), 127–149. [14] M. del Pino, P. Felmer, Semi-classical states of nonlinear Schr¨ odinger equations: a variational reduction method, Math. , 324, No. 1, (2002), 1–32. [15] A. Floer, A. Weinstein, Nonspreading wave packets for the cubic Schr¨odinger equation with a bounded potential, J. Funct. , 69, (1986), 397–408. 36 [16] B. Gidas, W. M. Ni, L. Nirenberg, Symmetry of positive solutions of nonlinear elliptic equations in RN , Adv. , Suppl.

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