Journal of Hebei University(Natural Science Edition) >

2001 , Vol. 21 >Issue 1: 9 - 16

DOI: https://doi.org/10.3969/j.issn.1000-1565.2001.01.004

Research on a Solution of Elliptic Boundary Value Problems by Using Theories of Accretive Operators

  • WEI Li ,
  • NAN Shu-qin ,
  • LIU Yuan-xing
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Online published: 2001-02-25

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Abstract

By using the perturbation results on sums of ranges of nonlinear accretive operators of Calvert-Gupta,the authors study the suff icient condition of the existence of the solution of one kinds of nonlinear Neum ann boundary value problem in Lp(Ω)(2≤p<+∞).The equation discussed is more general than that of Gupta-Hess and the equation is discussed in more general space Lp(Ω)(2≤p<+∞)instead of L2(Ω).

Cite this article

WEI Li , NAN Shu-qin , LIU Yuan-xing . Research on a Solution of Elliptic Boundary Value Problems by Using Theories of Accretive Operators[J]. Journal of Hebei University(Natural Science Edition), 2001 , 21(1) : 9 -16 . DOI: 10.3969/j.issn.1000-1565.2001.01.004

References

[1] CALVERT B D, GUPTA C P. Nonlinear elliptic boudary value problems in Lp-spaces and sums of ranges of accretive operators [J]. Nonlinear Analysis-Theory Methods and Applications 1978.
[2] GUPTA C P, Hess P. Existence theorems for nonlinear noncoercive o p erator equations and nonlinear elliptic boundary value problems [J]. Journal of Differential Equations 1976, 22.
[3] Barbu V. Nonlinear semigroups and differential equations in Banach sp aces [M]. Leyden:Noordhoff 1976.
[4] BREZIS H. Integrales convexes dans les espaces de Sobolev [J]. Israel Journal of Mathematics 1972, 13.
[5] CORDUNEANU A. Some remarks on the sum of two m-dissipative mapping [J]. Rew Rounaine Math Pures Appl 1975, XX(04).
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