@article{ASNSP_1997_4_25_1-2_375_0, author = {Dal Maso, Gianni and Malusa, Annalisa}, title = {Some properties of reachable solutions of nonlinear elliptic equations with measure data}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {375--396}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 25}, number = {1-2}, year = {1997}, mrnumber = {1655522}, zbl = {1033.35034}, language = {en}, url = {http://archive.numdam.org/item/ASNSP_1997_4_25_1-2_375_0/} }
TY - JOUR AU - Dal Maso, Gianni AU - Malusa, Annalisa TI - Some properties of reachable solutions of nonlinear elliptic equations with measure data JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1997 SP - 375 EP - 396 VL - 25 IS - 1-2 PB - Scuola normale superiore UR - http://archive.numdam.org/item/ASNSP_1997_4_25_1-2_375_0/ LA - en ID - ASNSP_1997_4_25_1-2_375_0 ER -
%0 Journal Article %A Dal Maso, Gianni %A Malusa, Annalisa %T Some properties of reachable solutions of nonlinear elliptic equations with measure data %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1997 %P 375-396 %V 25 %N 1-2 %I Scuola normale superiore %U http://archive.numdam.org/item/ASNSP_1997_4_25_1-2_375_0/ %G en %F ASNSP_1997_4_25_1-2_375_0
Dal Maso, Gianni; Malusa, Annalisa. Some properties of reachable solutions of nonlinear elliptic equations with measure data. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 25 (1997) no. 1-2, pp. 375-396. http://archive.numdam.org/item/ASNSP_1997_4_25_1-2_375_0/
[1] An L 1-theory of existence and uniqueness of solutions of nonlinear elliptic equations, Ann. Scuola Norm. Sup. Pisa Cl. Sci. 22 (1995), 241-273. | Numdam | MR | Zbl
- - - - - ,[2] Nonlinear elliptic and parabolic equations involving measure data, J. Funct. Anal. 87 (1989), 149-169. | MR | Zbl
- ,[3] Nonlinear elliptic equations with right hand side measures, Comm. Partial Differential Equations 17 (1992), 641-655. | MR | Zbl
- ,[4] Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data, Ann. Ist. H. Poincaré Anal. Non Linéaire 13 (1996), 539-551. | Numdam | MR | Zbl
- - ,[5] A property of nonlinear elliptic equations when the right-hand side is a measure, Potential Anal. 3 (1994), 257-263. | MR | Zbl
- ,[6] Remarques sur l'homogénéisation de certains problèmes quasilinéaires, Portugaliae Math. 41 (1982), 535-562. | MR | Zbl
- ,[7] Approximated solutions of equations with L1 data. Application to the H-convergence of parabolic quasilinear equations, Ann. Mat. Pura Appl. 170 (1996), 207-240. | MR | Zbl
,[8] On the integral representation of certain local functionals, Ricerche Mat. 32 (1983), 85-113. | MR | Zbl
,[9] Definition and existence of renormalized solutions for elliptic equations with general measure data, C. R. Acad. Sci. Paris Sér. I Math. 325 (1997). | MR | Zbl
- - - ,[10] Renormalized solutions for elliptic equations with general measure data, to appear. | Numdam | MR
- - - ,[11] The p-harmonic system with measure-valued right hand side, Ann. Ist. H. Poincaré Anal. Non Linéaire 14 (1997), 353-364. | Numdam | MR | Zbl
- - ,[12] Nonlinear elliptic systems with measure-valued right hand side, to appear. | Zbl
- - ,[13] Geometric Measure Theory, Springer-Verlag, New York, 1969. | MR | Zbl
,[14] On the closable part of pre-Dirichlet forms and the fine support of the underlying measures, Osaka J. Math. 28 (1991), 517-535. | MR | Zbl
- - ,[15] Inverting the p-harmonic operator, Manuscripta Math. 92 (1997), 249-258. | MR | Zbl
- - ,[16] Nonlinear potential theory of degenerate elliptic equations, Oxford University Press, Oxford, 1993. | MR | Zbl
- - ,[17] Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod and Gauthier-Villars, Paris, 1969. | MR | Zbl
,[18] Solutions renormalisées d'équations elliptiques non linéaires, to appear.
- ,[19] Regular points for elliptic equations with discontinuous coefficients, Ann. Scuola Norm. Sup. Pisa Cl. Sci. 17 (1963), 45-79. | Numdam | MR | Zbl
- - ,[20] Nemitsky operators on Sobolev spaces, Arch. Rational Mech. Anal. 51 (1973), 347-370. | MR | Zbl
- ,[21] Remarks on the existence and uniqueness of solutions of elliptic problems with right-hand side measures, Rend. Mat. 15 (1995), 321-337. | MR | Zbl
,[22] Pathological solutions of elliptic differential equations, Ann. Scuola Norm. Sup. Pisa Cl. Sci. 18 (1964), 385-397. | Numdam | MR | Zbl
,[23] Le problème de Dirichlet pour les èquations elliptiques du second ordre à coefficients discontinus, Ann. Inst. Fourier (Grenoble) 15 (1965), 189-258. | Numdam | MR | Zbl
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