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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
Affiliation  

We consider a parametric nonlinear elliptic problem driven by the sum of a p-Laplacian and of a q-Laplacian (a (p,q)-equation) with a singular and (p1)-superlinear reaction and a Robin boundary condition with (q1)-sublinear boundary term (q<p). 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(p,q)-方程)与单数和(p-1)-超线性反应和 Robin 边界条件(q-1)-次线性边界项(q<p). 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。

更新日期:2020-05-06
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