关于退化的（p,q）$ (p,q)$ -拉普拉斯方程对应于一个逆谱问题

IF 0.8 3区数学 Q2 MATHEMATICS

Bulletin of the London Mathematical Society Pub Date : 2024-11-21 DOI:10.1112/blms.13192

Yavdat Il'yasov, Nur Valeev

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引用次数: 0

摘要

利用逆最优问题方法，提出了一种求解系数无界可测的（p,q）$ (p,q)$ -Laplace非线性边值问题的方法。研究了一类非线性方程非负弱解的存在唯一性和稳定性

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On degenerate ( p , q ) $(p,q)$ -Laplace equations corresponding to an inverse spectral problem

A method of solving nonlinear boundary value problems involving $(p, q)$ -Laplace with unbounded measurable coefficients is introduced through the inverse optimal problem approach. The existence, uniqueness, and stability of the nonnegative weak solution to the nonlinear equations of the form

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