一类椭圆型Euler方程在各向异性Соболев空间中非平凡解的存在性
被引量:2
摘要
在n维欧氏空间的有界区域G上考虑椭圆型Euler方程本文证明了在各向异性空间W■(G)中,该方程至少存在一个非平凡解.
同被引文献12
-
1宁新民.凸函数的性质及其应用[J].南都学坛(南阳师专学报),1993,13(3):19-24. 被引量:2
-
2Nicola Fusco,Carlo Sbordone.Local boundedness of minimizers in a limit case[J]. Manuscripta Mathematica . 1990 (1)
-
3Bhattacharya T,Leonetti F.A new Poincare inequality and its application to the regularity of minimizers of integral functionals with nonstandard growth conditions. Nonlinear Analysis Theory Methods Applications . 1991
-
4Marcellini P.Regularity of minimizers of integrals of the calculus of variations with nonstandard growth21 Choe H J.Regularit for minimizers of certain degenerate functionals with nonstandard growth conditions. Comm.P D E . 1991
-
5Giaquinta M.Multiple integrals in the calculus of variations and nonlinear elliptic systems. . 1983
-
6Marccllini P.Regularity and existence of solutions of elliptic equations with p.q-growth conditions. J.Diff.Equations . 1991
-
7Moscariello G.Regularity results for quasiminima of functionals with nonstandard growth conditions. Journal of Mathematical Analysis and Applications . 1992
-
8Liang Xi-ting,Wang Xiang-dong. A priori estimates to the maximum modulus of generalized solutions of a class of quasilinear elliptic equations with anisotropic growth conditions[J] 1994,Applied Mathematics and Mechanics(11):1025~1034
-
9Mariano Giaquinta,Giuseppe Modica.Remarks on the regularity of the minimizers of certain degenerate functionals[J]. Manuscripta Mathematica . 1986 (1)
-
10李园庭.拟线性椭圆型方程Dirichlet问题非平凡解的存在性[J].华南理工大学学报(自然科学版),1990,18(2):106-116. 被引量:1
-
1陈基明,彭瑞仁,何幼桦.S-空间中正交小波基的一种构造法[J].应用数学与计算数学学报,1996,10(2):44-50. 被引量:2
-
2毛剑峰.Ky Fan极大极小定理的一个推广及应用[J].咸宁师专学报,2000,20(6):9-14.
-
3罗从文.MS-代数的主同余的一个刻划及其应用(英文)[J].三峡大学学报(人文社会科学版),1998,21(3):5-10.
-
4Halgwrd Mohammed Darwesh Adil Kadir Jabbar.On Ws-Regular Spaces[J].Journal of Mathematics and System Science,2012,2(2):67-71.
-
5罗从文.同余可换的MS-代数[J].三峡大学学报(自然科学版),2003,25(2):174-175.
-
6文开庭.GFC-空间中的极大元定理及其应用[J].毕节学院学报(综合版),2016,34(2):131-138.
-
7王建华,南朝勋.S-空间和WkR空间的对偶空间[J].数学年刊(A辑),1992,1(1):65-69. 被引量:5
-
8陈东立.S-空间及Radon空间的表示[J].工程数学学报,1993,10(2):19-24.
-
9林寿.关于Lanev空间[J].数学学报(中文版),1991,34(2):222-225. 被引量:1
-
10周景新,张明达.闭保交性S-闭空间和S-闭P_Σ型空间[J].北华大学学报(自然科学版),2005,6(2):110-112.