Literature Cited
L. Nirenberg, Lectures on Nonlinear Functional Analysis [Russian translation], Mir, Moscow (1977).
L. V. Kapitanskii and K. I. Piletskas, “Some problems of vector analysis,” J. Sov. Math.,32, No. 5 (1986).
O. A. Ladyzhenskaya, Mathematical Theory of Viscous Incompressible Flow, Gordan and Breach (1969).
M. Franchis, “La piu generale funzione d'invarianza per criteri sufficienti di minimo con condizioni di Dirichlet per integrali pluridimensionali del primo ordine dipendeti da un vettore a piu componenti,” Atti Accad. Naz. Lincei. Rend. Cl. Sci. Fis. Mat. Natur.,37, No. 8, 129–140 (1964).
V. A. Solonnikov and N. N. Ural'tseva, “Sobolev spaces,” in: Selected Chapters of Analysis and Higher Algebra [in Russian], Leningrad State Univ. (1981).
Ya. I. Bakel'man, A. L. Verner, and B. E. Kantor, Introduction to Differential Geometry “in the Large” [in Russian], Nauka, Moscow (1973).
J. Thorpe, Initial Chapters of Differential Geometry [Russian translation], Mir, Moscow (1982).
D. Ebin and J. Marsden, “Groups of diffeomorphisms and the motion of an incompressible fluid,” Ann. Math., No. 1, 102–163 (1980).
Yu. G. Reshetnyak, Stability Theorems in Geometry and Analysis [in Russian], Nauka, Novosibirsk (1982).
Additional information
Leningrad. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 27, No. 5, pp. 140–154, September–October, 1986.
Rights and permissions
About this article
Cite this article
Osmolovskii, V.G. Local structure of the set of solutions of a first-order nonlinear boundary problem with point restrictions. Sib Math J 27, 744–756 (1986). https://doi.org/10.1007/BF00969204
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00969204