Non-linear elliptic and parabolic equations involving measure data

Journal of Functional Analysis - Tập 87 Số 1 - Trang 149-169 - 1989
Lucio Boccardo1, Thierry Gallouët2
1Dipartimento di Matematica, Università di Roma I, Piazza A. Moro 2, 00185 Roma, Italy
2Département de Mathématiques, Université de Chambery, BP 1104, 73011 Chambery Cedex, France

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Tài liệu tham khảo

Stampacchia, 1965, Equations elliptiques du second ordre à coefficients discontinus

Brezis, 1973, Seminilear elliptic equations in L1, J. Math. Soc. Japan, 25, 565, 10.2969/jmsj/02540565

Benilan, 1975, A semilinear equation in L1, Ann. Scuola Norm. Sup. Pisa, 2, 523

Ph. Benilan, M. Crandall, and A. Pazy, Evolution equations governed by accretive operators, in preparation.

Gallouet, 1984, Resolution of a semilinear equation in L1, 96, 275

Gallouet, 1985, On some semilinear problems in L1, Boll. Un. Mat. Ital. A, 4, 121

Gallouet, 1988, Equations elliptiques semilinéaires avec, pour la non linéarité, une condition de signe et une dépendance sous-quadratique par rapport au gradient, Ann. Fac. Sc. Univ. Toulouse, 9, 161, 10.5802/afst.654

Baras, 1985, Critère d'existence de solutions positives pour des équations semi-linéaires non monotones, Ann. Inst. H. Poincaré, 3, 185, 10.1016/S0294-1449(16)30402-4

Leray, 1965, Quelques résultats de Visik sur les problèmes elliptiques non linéaires par les méthodes de Minty et Browder, Bull. Soc. Math. France, 93, 97, 10.24033/bsmf.1617

Serrin, 1964, Pathological solutions of elliptic differential equations, Ann. Scuola Norm. Sup. Pisa, 385

Brezis, 1980, Some variational problems of the Thomas Fermi type, 53

Brezis, 1980, Removable singularities for some nonlinear elliptic equations, Arch. Rational Mech. Anal., 75, 1, 10.1007/BF00284616

Lions, 1968

Simon, 1987, Compact sets in the space Lp(0, T; B), Ann. Mat. Pura Appl., 196, 65

Temam, 1977

Talenti, 1979, Non-linear elliptic equations, rearrangements of functions and Orlicz sspaces, Ann. Mat. Pura Appl., 120, 159, 10.1007/BF02411942

Kichenassamy, 1987, Quasilinear problems with singularities, Manuscripta Math., 57, 281, 10.1007/BF01437485