@article{ASNSP_1977_4_4_2_373_0, author = {Kinderlehrer, D. and Nirenberg, L.}, title = {Regularity in free boundary problems}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {373--391}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 4}, number = {2}, year = {1977}, mrnumber = {440187}, zbl = {0352.35023}, language = {en}, url = {http://archive.numdam.org/item/ASNSP_1977_4_4_2_373_0/} }
TY - JOUR AU - Kinderlehrer, D. AU - Nirenberg, L. TI - Regularity in free boundary problems JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1977 SP - 373 EP - 391 VL - 4 IS - 2 PB - Scuola normale superiore UR - http://archive.numdam.org/item/ASNSP_1977_4_4_2_373_0/ LA - en ID - ASNSP_1977_4_4_2_373_0 ER -
%0 Journal Article %A Kinderlehrer, D. %A Nirenberg, L. %T Regularity in free boundary problems %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1977 %P 373-391 %V 4 %N 2 %I Scuola normale superiore %U http://archive.numdam.org/item/ASNSP_1977_4_4_2_373_0/ %G en %F ASNSP_1977_4_4_2_373_0
Kinderlehrer, D.; Nirenberg, L. Regularity in free boundary problems. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 4 (1977) no. 2, pp. 373-391. http://archive.numdam.org/item/ASNSP_1977_4_4_2_373_0/
[1] Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions, I, Comm. Pure Appl. Math., 12 (1959), pp. 623-727. | MR | Zbl
- - ,[2] Su un problema a frontiera libera connesso a questioni di idraulica, Ann. di Mat. Pura e Applic., 92 (1972), pp. 107-127. | MR | Zbl
,[3] The smoothness of solutions to nonlinear variational inequalities, Indiana Univ. Math. J., 23 (1973-74), pp. 831-844. | MR | Zbl
- ,[4] The hodograph method in fluid dynamics in the light of variational inequalities, Arch. Rat. Mech. and Anal., 61 (1976), pp. 1-18. | MR | Zbl
- ,[5] The smoothness of the free boundary in a filtration problem, to appear.
,[6] The regularity of elliptic and parabolic free boundaries, Bull. A.M.S., 82 (1976), pp. 616-618. | MR | Zbl
,[7] Smoothness and analyticity of free boundaries in variational inequalities, Ann. Scuola Norm. Sup. Pisa, 3 (1976), pp. 289-310. | Numdam | MR | Zbl
- ,[8] Capillarity phenomena, Usp. Akad. Nauk, 29 (1974), pp. 131-152; Engl. trans. in Russian Math. Surveys, 29 (1974), pp. 133-153. | MR | Zbl
,[9] Partial differential equations of parabolic type, Prentice-Hall, Englewood Cliffs, N. J., 1964. | MR | Zbl
,[10] Analyticity of the free boundary for the Stefan problem, Arch. Rat. Mech. and Anal., 61 (1976), pp. 97-125. | MR | Zbl
,[11] Über ein Minimumproblem für Potentialströmungen mit freiem Rande, Math. Ann., 109 (1934), pp. 60-82. | JFM | MR | Zbl
,[12] Axially symmetric cavitational flow, Ann. Math., 56 (1952), pp. 560-602. | MR | Zbl
- - ,[13] Regularity of solutions of nonlinear variational inequalities, Arch. Rat. Mech. Anal., 52 (1973), pp. 389-393. | MR | Zbl
,[14] Elliptic variational inequalities, Proc. Intl. Congress of Math. Vancouver, 1974, pp. 269-273. | MR | Zbl
,[15] The free boundary determined by the solution to a differential equation, Indiana Univ. Math. Jour., 25 (1976), pp. 195-208. | MR | Zbl
,[16] Regularity of free boundaries, Conf. del Seminario di Mat., Univ. di Bari, to appear. | Zbl
- ,[17] A priori limitations for the solutions of the Monge-Ampère equations, II, Trans. A.M.S., 41 (1937), pp. 365-374. | JFM | MR | Zbl
,[18] On minimal surfaces with partially free boundaries, Comm. Pure Appl. Math., 4 (1951), pp. 1-13. | MR
,[19] The nature of the domain governed by different regimes, Atti del Convegno Internazionale « Metodi valutativi nella fisica-matematica », Accad. Naz. dei Lincei (1975), pp. 181-188.
,[20] On the regularity of the solution to a variational inequality, Comm. Pure Appl. Math., 22 (1969), pp. 153-188. | MR | Zbl
- ,[21] Multiple integrals in the calculus of variations, Springer, New York - Berlin, 1966. | MR | Zbl
,[22] Sur un problème de variation, C. R. Acad. Sci. Paris, 185 (1927), pp. 840-841. | JFM
,[23] Some examples of singularities in a free boundary, Ann. Scuola Norm. Sup. Pisa, 4 (1977), pp. 133-144. | Numdam | MR | Zbl
,[24] Existence and regularity of a capillary surface with prescribed contact angle, Arch, Rat. Mech. and Anal., 61 (1976), pp. 19-34. | MR | Zbl
- ,[25] On boundary value problems for linear parabolic systems of differential equations of general type, Trudii Math. Inst. Steklov, 83 (1965); Engl. transl. A.M.S. in Boundary value problems of mathematical physics, III, ed. by O. A. LADYZHENSKAYA, 1967. | MR | Zbl
,[26] Variational inequalities, Proc. Int. Congress of Mathematicians, Nice, 1970, pp. 877-883. | MR | Zbl
,[27] Water Waves, Interscience-Wiley, New York, 1957. | MR | Zbl
,