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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

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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.
作者 鲁又文
出处 《天津师大学报(自然科学版)》 1991年第1期1-11,共11页
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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

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