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Singular (p, q)-equations with superlinear reaction and concave boundary condition
Applicable Analysis ( IF 1.1 ) Pub Date : 2020-05-06 , DOI: 10.1080/00036811.2020.1761018 Nikolaos S. Papageorgiou 1 , Calogero Vetro 2 , Francesca Vetro 3, 4
中文翻译:
具有超线性反应和凹边界条件的奇异 (p, q) 方程
更新日期:2020-05-06
Applicable Analysis ( IF 1.1 ) Pub Date : 2020-05-06 , DOI: 10.1080/00036811.2020.1761018 Nikolaos S. Papageorgiou 1 , Calogero Vetro 2 , Francesca Vetro 3, 4
Affiliation
We consider a parametric nonlinear elliptic problem driven by the sum of a p-Laplacian and of a q-Laplacian (a -equation) with a singular and -superlinear reaction and a Robin boundary condition with -sublinear boundary term . So, the problem has the combined effects of singular, concave and convex terms. We look for positive solutions and prove a bifurcation-type theorem describing the changes in the set of positive solutions as the parameter varies.
中文翻译:
具有超线性反应和凹边界条件的奇异 (p, q) 方程
我们考虑一个参数非线性椭圆问题,该问题由p -Laplacian 和q -Laplacian (a-方程)与单数和-超线性反应和 Robin 边界条件-次线性边界项. 因此,该问题具有奇异项、凹项和凸项的综合影响。我们寻找正解并证明一个分岔型定理,该定理描述了正解集随着参数的变化而发生的变化。