@article{ASNSP_1970_3_24_1_159_0, author = {Miller, Keith}, title = {Nonequivalence of regular boundary points for the {Laplace} and nondivergence equations, even with continuous coefficients}, journal = {Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche}, pages = {159--163}, publisher = {Scuola normale superiore}, volume = {Ser. 3, 24}, number = {1}, year = {1970}, mrnumber = {262677}, zbl = {0202.11406}, language = {en}, url = {http://www.numdam.org/item/ASNSP_1970_3_24_1_159_0/} }
TY - JOUR AU - Miller, Keith TI - Nonequivalence of regular boundary points for the Laplace and nondivergence equations, even with continuous coefficients JO - Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche PY - 1970 SP - 159 EP - 163 VL - 24 IS - 1 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_1970_3_24_1_159_0/ LA - en ID - ASNSP_1970_3_24_1_159_0 ER -
%0 Journal Article %A Miller, Keith %T Nonequivalence of regular boundary points for the Laplace and nondivergence equations, even with continuous coefficients %J Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche %D 1970 %P 159-163 %V 24 %N 1 %I Scuola normale superiore %U http://www.numdam.org/item/ASNSP_1970_3_24_1_159_0/ %G en %F ASNSP_1970_3_24_1_159_0
Miller, Keith. Nonequivalence of regular boundary points for the Laplace and nondivergence equations, even with continuous coefficients. Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche, Série 3, Tome 24 (1970) no. 1, pp. 159-163. http://www.numdam.org/item/ASNSP_1970_3_24_1_159_0/
[1] On isolated singularities of solutions of second order elliptic differential equations, J. Analyse Math., vol. 4 (1956), pp. 309-340. | MR | Zbl
and ,[2] Recherches axiomatique sur la théorie des fonctions surharmoniques et du potentiel, Ann. Inst. Fourier, Grenoble 12 (1962), pp. 415-571. | Numdam | MR | Zbl
,[3] On solutions of elliptic equations of the second order (Russian), Uspehi Mat Nauk., Vol. 21 (1966), no. 2 (128) pp. 233-235. | MR
,[4] s-capacity and the behavior of a solution of a second-order elliptic equation with discontinuous coefficients in the neighborhood of a boundary point, Dokl. Akad. Nauk. SSSR, 180 (1968); translated in Soviet Math. Dokl, 9 (1968), pp. 582-586. | MR | Zbl
,[5] Regular points for elliptic equations with discontinuous coefflcients, Ann. Scuola Norm. Sup. di Pisa, XVII (1963) pp. 45-79. | Numdam | MR | Zbl
, , and ,[6] K, Barriers on cones for uniformly elliptic operators, Ann. Mat. Pura Appl., LXXVI (1967), pp. 93-105. | MR | Zbl
,[7] Exceptional boundary points for the nondivergence equation which are regular for the Laplace equation-and vice-versa, Ann. Scuola Norm. Sup. di Pisa, XXIV (1968), pp. 315-330. | Numdam | MR | Zbl
,[8] On the Dirichlet problem for equations of elliptic type, (Russian), Math. Sb. vol. 24 (66) (1949), pp. 3-14, Math. Review 10 # 713. | MR
,[9] An example of an elliptic second-order equation with continuous coefficients for which the regularity conditions of a boundary point for the Dirichlet problem are different from similar conditions for Laplace's equation, (Russian), Vestnik Moscow Univ. Serie 1: Matematika, mekhanika, no. 2 (1969), pp. 30-39. | MR | Zbl
,