@article{ASNSP_1992_4_19_4_591_0,
author = {Kilpel\"ainen, Tero and Mal\'y, Jan},
title = {Degenerate elliptic equations with measure data and nonlinear potentials},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
pages = {591--613},
publisher = {Scuola normale superiore},
volume = {Ser. 4, 19},
number = {4},
year = {1992},
mrnumber = {1205885},
zbl = {0797.35052},
language = {en},
url = {https://www.numdam.org/item/ASNSP_1992_4_19_4_591_0/}
}
TY - JOUR AU - Kilpeläinen, Tero AU - Malý, Jan TI - Degenerate elliptic equations with measure data and nonlinear potentials JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1992 SP - 591 EP - 613 VL - 19 IS - 4 PB - Scuola normale superiore UR - https://www.numdam.org/item/ASNSP_1992_4_19_4_591_0/ LA - en ID - ASNSP_1992_4_19_4_591_0 ER -
%0 Journal Article %A Kilpeläinen, Tero %A Malý, Jan %T Degenerate elliptic equations with measure data and nonlinear potentials %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1992 %P 591-613 %V 19 %N 4 %I Scuola normale superiore %U https://www.numdam.org/item/ASNSP_1992_4_19_4_591_0/ %G en %F ASNSP_1992_4_19_4_591_0
Kilpeläinen, Tero; Malý, Jan. Degenerate elliptic equations with measure data and nonlinear potentials. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 19 (1992) no. 4, pp. 591-613. https://www.numdam.org/item/ASNSP_1992_4_19_4_591_0/
[1] - , Non-linear elliptic and parabolic equations involving measure data, J. Funct. Anal. 87 (1989), 149-169. | Zbl | MR
[2] - , A regularity condition at the boundary for solutions of quasilinear elliptic equations, Arch. Rational Mech. Anal. 67 (1977), 25-39. | Zbl | MR
[3] - , Thin sets in nonlinear potential theory, Ann. Inst. Fourier, Grenoble 33,4 (1983), 161-187. | Zbl | MR | Numdam
[4] - , A-superharmonic functions and supersolutions of degenerate elliptic equations, Ark. Mat. 26 (1988), 87-105. | Zbl | MR
[5] - , Polar sets for supersolutions of degenerate elliptic equations, Math. Scand. 63 (1988), 136-150. | Zbl | MR
[6] - , On the Wiener criterion and quasilinear obstacle problems, Trans. Amer. Math. Soc. 310 (1988), 239-255. | Zbl | MR
[7] - - , Connectedness in fine topologies, Ann. Acad. Sci. Fenn. Ser. A I Math. 15 (1990); 107-123. | Zbl | MR
[8] - - , Fine topology and quasilinear elliptic equations, Ann. Inst. Fourier, Grenoble 39,2 (1989), 293-318. | Zbl | MR | Numdam
[9] - - , Nonlinear potential theory of degenerate elliptic equations, Oxford University Press (in press). | MR
[10] , Potential theory for supersolutions degenerate elliptic equations, Indiana Univ. Math. J. 38 (1989), 253-275. | Zbl | MR
[11] , On the definition and properties of p-superharmonic functions, J. Reine Angew. Math. 365 (1986), 67-79. | Zbl | MR
[12] - , Two theorems of N. Wiener for solutions of quasilinear elliptic equations, Acta Math. 155 (1985), 153-171. | Zbl | MR
[13] , On the continuity at a boundary point of solutions of quasi-linear elliptic equations, Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 25 (1970), 42-55 (Russian), Vestnik Leningrad Univ. Math. 3, (1976), 225-242. (English translation). | Zbl | MR
[14] , Equivalence between the growth of f |∇u| pdy and T in the equation P[u]=T, J. Differential Equation 86 (1990), 102-122. | Zbl
[15] - , Local behavior of solutions of quasilinear elliptic equations with general structure, Trans. Amer. Math. Soc. 319 (1990), 747-764. | Zbl | MR
[16] , Pathological solutions of elliptic differential equations, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (1964), 385-387. | Zbl | MR | Numdam
[17] , On Harnack type inequalities and their application to quasilinear elliptic equations, Comm. Pure Appl. Math. 20 (1967), 721-747. | Zbl | MR






