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Robin double-phase problems with singular and superlinear terms
Nonlinear Analysis: Real World Applications ( IF 1.8 ) Pub Date : 2020-09-28 , DOI: 10.1016/j.nonrwa.2020.103217 Nikolaos S. Papageorgiou , Vicenţiu D. Rădulescu , Dušan D. Repovš
中文翻译:
具有奇异和超线性项的Robin双相问题
更新日期:2020-09-28
Nonlinear Analysis: Real World Applications ( IF 1.8 ) Pub Date : 2020-09-28 , DOI: 10.1016/j.nonrwa.2020.103217 Nikolaos S. Papageorgiou , Vicenţiu D. Rădulescu , Dušan D. Repovš
We consider a nonlinear Robin problem driven by the sum of -Laplacian and -Laplacian (i.e. the -equation). In the reaction there are competing effects of a singular term and a parametric perturbation , which is Carathéodory and -superlinear at without satisfying the Ambrosetti–Rabinowitz condition. Using variational tools, together 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:
具有奇异和超线性项的Robin双相问题
我们考虑由 -拉普拉斯和 -拉普拉斯(即 -方程)。在反应中,存在奇异项和参数扰动的竞争效应,这是Carathéodory和 -超线性 不满足Ambrosetti–Rabinowitz条件。使用变分工具,结合截断和比较技术,我们证明了分叉型结果,该结果描述了一组正解的变化作为参数 不同。