带有奇异非线性项的加权(p, q)-Laplace方程正解的存在性
Existence of Positive Solutions of Weighted (p, q)-Laplace Equation with Singular Nonlinear Terms
DOI: 10.12677/PM.2023.133061, PDF,   
作者: 吕凯利：上海理工大学理学院，上海
关键词: 奇异性；纤维映射；变分法；Singularity； Fiber Mapping； Variational Method
摘要: 该文研究了W01,H中一类带有奇异的非线性项的加权(p,q)-Laplace方程正解的存在性和多重性。利用纤维映射和变分法等技巧，在参数较小的情况下，得到方程至少有两个正解。
Abstract: This paper investigates the existence and multiplicity of positive solutions of a class of weighted (p,q-Laplace equations with singular nonlinear terms in W01,H. Using techniques such as fiber mapping and variational methods, at least two positive solutions of the equation are obtained under small parameters.
文章引用：吕凯利. 带有奇异非线性项的加权(p, q)-Laplace方程正解的存在性[J]. 理论数学, 2023, 13(3): 573-587. https://doi.org/10.12677/PM.2023.133061

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