YUAN Yue, XIONG Zhi-ran, ZOU Wen-wen, NIU Wei-sheng. Existence and Uniqueness of Bounded Weak Solutions for a Class of Degenerate Nonlinear Elliptic Equations[J]. Journal of nanchang hangkong university(Natural science edition), 2018, 32(1): 48-51. DOI: 10.3969/j.issn.1001-4926.2018.01.008
Citation: YUAN Yue, XIONG Zhi-ran, ZOU Wen-wen, NIU Wei-sheng. Existence and Uniqueness of Bounded Weak Solutions for a Class of Degenerate Nonlinear Elliptic Equations[J]. Journal of nanchang hangkong university(Natural science edition), 2018, 32(1): 48-51. DOI: 10.3969/j.issn.1001-4926.2018.01.008
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Existence and Uniqueness of Bounded Weak Solutions for a Class of Degenerate Nonlinear Elliptic Equations

    Abstract
  • For a class of degenerate nonlinear elliptic equations with irregular data, by taking proper test functions, we first prove the uniqueness of solutions. Then we use smooth approximations and proper compactness theorems to provide the existence of bounded weak solutions.
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