期刊文献+

Integrability of det▽u and Evolutionary Wente's Problem Associated to Heat Operator

Integrability of det▽u and Evolutionary Wente's Problem Associated to Heat Operator
原文传递
导出
摘要 In this note,the authors resolve an evolutionary Wente's problem associated to heat equation,where the special integrability of det▽u for u∈H^1(R^2,R^2)is used.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2007年第5期527-532,共6页 数学年刊(B辑英文版)
关键词 Jacobian determinant Heat equation Wente's problem 雅可比行列式 函数行列式 热平衡 积分
  • 相关文献

参考文献10

  • 1Baraket, S., Estimations of the best constant involving the L^∞ norm in Wente's inequality, Ann. Fac. Sci. Toulouse, 3, 1996, 373-386.
  • 2Bethuel, F. and Ghidaglia, J. M., Improved regularity of solutions to elliptic equations involving Jacobians and applications, J. Math. Pures Appl., 72, 1993, 441-474.
  • 3Brezis, H. and Coron, J. M., Multiple solutions of H-system and Rellich's conjecture, Comm. Pure Appl. Math., 37, 1984, 149-187.
  • 4Chanillo, S. and Li, Y. Y., Continuity of solutions of uniformly elliptic equations in R^2, Manuscripta Math., 77, 1992, 415-433.
  • 5Colfman, R., Lions, P. L., Meyer, Y. and Semmes, S., Compensated compacteness and Hardy spaces, J. Math. Pures Appl., 72, 1993, 247-286.
  • 6Ge, Y., Estimations of the best constant involving the L2 norm in Wente's inequality, Contr. Optim. Calc. Vat., 3, 1998, 263-300.
  • 7Helein, F,, Applications Harmoniques, Lois de Conservation et Repere Mobile, Diderot, Paris, 1996.
  • 8Topping, P., The optimal constant in the Wente's L^∞ estimate, Comment. Math. Helev., 72, 1997, 316-328,
  • 9Wente, H. C., An existence theorem for surfaces of constant mean curvature, J. Math. Anal. Appl., 26, 1969, 318-344.
  • 10Wente, H. C., Large solutions to the volume constrained Plateau problem, Arch. Rat. Mech. Anal., 75, 1980, 59-77.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部