Positive Solutions of Nonlinear Elliptic Problem in a Non-Smooth Planar Domain
Positive Solutions of Nonlinear Elliptic Problem in a Non-Smooth Planar Domain
Green function
Schauder fixed point theorem
superharmonic function.
参考文献11
-
1Edelson A. L., Entiere solutions of singular elliptic equations. J. Math. Anal. Appl. 139 (1989), 523-532.
-
2Lair A. V., Shaker A. W., Entiere solutions of a singular semilinear elliptic problem. J. Math. Anal. Appl. 200 (1996), 498-505.
-
3Lair A. V., Shaker A. W., Classical and weak solutions of a singular semi-linear elliptic prob- lem. J. Math Anal. Appl. 211 (1997), 371-385.
-
4Lazer A. C., Mackenna P. J., On a singular nonlinear elliptic boundary-value problem. Proc. Amer. Math. Soc. 111 (1991), 721-730.
-
5Ufektepe U., Zhao Z., Positive solutions of nonlinear elliptic equations in the euclidean plane. Proc. Amer. Math. Soc. 126 (1998), 3681-3692.
-
6Zhao Z., On the existence of positive solutions of nonlinear elliptic equations-a probabilistic potential theory approach. Duke. Math. J. 69 (1993), 247-258.
-
7Zhao Z., Positive solutions of nonlinear second order ordinary differential equations. Proc. Amer. Math. Soc. 121 (2) (1994), 465-469.
-
8Bachar I., Maagli H., Maatoug L., Positive solutions of nonlinear elliptic equations in a half space in N2. Electronic. J. Diff. Eqns. 41 (2002), 1-24.
-
9Hirata K., Sharp Estimates for the Green function, 3G inequalities, and nonlinear Schrodinger problems in uniform cones. J. D'analyse Math~matique, 99 (2006).
-
10Boubaker M. A. Ben, Selmi M., Estimation of Green's function on piecewise Dini-smooth Bounded Jordan domains. Collo. Math. 133 (1) (2013), 1-22.
-
1谢资清.MULTIPLICITY RESULTS FOR AN INHOMOGENEOUS NONLINEAR ELLIPTIC PROBLEM[J].Acta Mathematica Scientia,1999,19(2):158-167. 被引量：1
-
2YANG HAITAO(Department of Mathematics, Zhejiang University, HangZhou 310027, China.) WU SHAOPING(Department of Mathematics, Zhejiang University, HangZhou 310027, China.).ON MULTIPLE POSITIVE SOLUTIONS FOR A NONLINEAR ELLIPTIC PROBLEM IN R^N[J].Chinese Annals of Mathematics,Series B,2000,21(3):351-358. 被引量：1
-
3Mohamed Badr BENBOUBKER,Houssam CHRAYTEH,Mostafa EL MOUMNI,Hassane HJIAJ.Entropy and Renormalized Solutions for Nonlinear Elliptic Problem Involving Variable Exponent and Measure Data[J].Acta Mathematica Sinica,English Series,2015,31(1):151-169. 被引量：2
-
4CHEN ChuanMiao,XIE ZiQing.Analysis of search-extension method for finding multiple solutions of nonlinear problem[J].Science China Mathematics,2008,51(1):42-54. 被引量：4
