ANISOTROPIC(p,q)-EQUATIONS WITH COMPETITION PHENOMENA

作     者：Zhenhai LIU Nikolaos S.PAPAGEORGIOU 刘振海;Nikolaos S.PAPAGEORGIOU

作者机构：Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data ProcessingYulin Normal UniversityYulin 537000China Guangxi Key Laboratory of Hybrid Computation and IC Design AnalysisGuangxi University for NationalitiesNanning 530006China Department of MathematicsNational Technical UniversityZografou Campus15780 Athens.Greece 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2022年第42卷第1期

页      面：299-322页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by NNSF of China(12071413) NSF of Guangxi(2018GXNSFDA138002) 

主　　题：concave-convex nonlinearities anisotropic operators regularity theory maximum principle minimal positive solution 

摘      要：We consider a nonlinear Robin problem driven by the anisotropic(p,q)-Laplacian and with a reaction exhibiting the competing effects of a parametric sublinear(concave) term and of a superlinear(convex) *** prove a bifurcation-type theorem describing the changes in the set of positive solutions as the parameter *** also prove the existence of a minimal positive solution and determine the monotonicity and continuity properties of the minimal solution map.