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On a class of singular anisotropic ( p , q )-equations
Revista Matemática Complutense ( IF 0.8 ) Pub Date : 2021-04-11 , DOI: 10.1007/s13163-021-00395-x Nikolaos S. Papageorgiou , Patrick Winkert
中文翻译:
关于一类奇异各向异性(p,q)方程
更新日期:2021-04-11
Revista Matemática Complutense ( IF 0.8 ) Pub Date : 2021-04-11 , DOI: 10.1007/s13163-021-00395-x Nikolaos S. Papageorgiou , Patrick Winkert
We consider a Dirichlet problem driven by the anisotropic (p, q)-Laplacian and with a reaction that has the competing effects of a singular term and of a parametric superlinear perturbation. Based on variational tools along with truncation and comparison techniques, we prove a bifurcation-type result describing the changes in the set of positive solutions as the parameter varies.
中文翻译:
关于一类奇异各向异性(p,q)方程
我们考虑由各向异性(p, q)-Laplacian驱动的Dirichlet问题,其反应具有奇异项和参数超线性摄动的竞争效应。基于变分工具以及截断和比较技术,我们证明了分叉类型的结果,该结果描述了随着参数变化而导致的正解集的变化。