Quasilinear elliptic systems in perturbed form

被引：24
作者：
Azroul, Elhoussine [1 ]
Balaadich, Farah [1 ]
机构：
[1] Fac Sci Dhar El Mehraz, Dept Math, BP 1796 Atlas, Fes, Morocco
来源：
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2019年 / 10卷 / 02期
关键词：
Quasilinear elliptic system; Weak solution; Young measure; UNIQUENESS;
D O I：
10.22075/ijnaa.2019.19034.2050
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider the boundary value problem of a quasilinear elliptic system in degenerate form with data belongs to the dual of Sobolev Spaces. The existence result is proved by means of Young measures and mild monotonicity assumptions.
引用
收藏
页码：255 / 266
页数：12
相关论文
共 19 条
  • [1] [Anonymous], 1963, Am. Math. Soc. Transl.
  • [2] [Anonymous], 1980, FUNCTIONAL ANAL
  • [3] ARTOLA M, 1986, B UNIONE MAT ITAL, V5B, P51
  • [4] Augsburger F., 2004, ELECT J DIFF, V2004, P1
  • [5] Azroul E., 2018, Moroc. J. Pure Appl. Anal, V4, P77, DOI [10.1515/mjpaa-2018-0008, DOI 10.1515/MJPAA-2018-0008]
  • [6] NONLINEAR FUNCTIONAL EQUATIONS IN BANACH SPACES AND ELLIPTIC SUPER-REGULARIZATION
    BROWDER, FE
    TON, BA
    [J]. MATHEMATISCHE ZEITSCHRIFT, 1968, 105 (03) : 177 - &
  • [7] QUASI-MONOTONICITY AND PERTURBATED SYSTEMS WITH CRITICAL GROWTH
    CHABROWSKI, J
    ZHANG, K
    [J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1992, 41 (02) : 483 - 504
  • [8] Optimal second-order regularity for the p-Laplace system
    Cianchi, Andrea
    Maz'ya, Vladimir G.
    [J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2019, 132 : 41 - 78
  • [9] An approach via symmetrization methods to nonlinear elliptic problems with a lower order term
    Di Nardo R.
    Perrotta A.
    [J]. Rendiconti del Circolo Matematico di Palermo, 2010, 59 (2) : 303 - 317
  • [10] Uniqueness results for nonlinear elliptic problems with two lower order terms
    Di Nardo, Rosatia
    Perrotta, Adamaria
    [J]. BULLETIN DES SCIENCES MATHEMATIQUES, 2013, 137 (02): : 107 - 128
12