Pairs of Positive Solutions for Nonhomogeneous Dirichlet Problems

Liu Zhenhai; Papageorgiou Nikolaos S.

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Pairs of Positive Solutions for Nonhomogeneous Dirichlet Problems

机译：对非齐次的正解狄利克雷问题

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摘要

We consider a nonlinear Dirichlet problem driven by a nonhomogeneous differential operator. The reaction has a parametric concave term and negative sublinear perturbation. In contrast to the case of a positive perturbation, we show that now for all big values of the parameter lambda>0, we have at least two positive solutions which do not vanish in the domain. In the process we prove a nonlinear maximum principle which is of independent interest.

机译：我们考虑一个非线性狄利克雷问题驱动的非齐次微分算子。反应参数和凹术语-次线性扰动。积极的扰动的情况下,我们证明现在所有的大值的参数λ> 0,我们至少有两个正解不消失的域。一个非线性的最高原则独立的利益。

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来源
《Bulletin of the Malaysian Mathematical Sciences Society》 |2021年第6期|3969-3981|共13页
作者
Liu Zhenhai; Papageorgiou Nikolaos S.;
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作者单位

Natl Tech Univ Athens, Dept Math, Zografou Campus, Athens 15780, Greece;

Yulin Normal Univ, Guangxi Coll & Univ Key Lab Complex Syst Optimiza, Yulin 537000, Peoples R China;

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正文语种英语
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关键词
Dirichlet problem; Pairing; maximum principleNON-HOMOGENEOUSperturbation;

机译：狄利克雷问题;配对;最大值principleNON-HOMOGENEOUSperturbation;

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Pairs of Positive Solutions for Nonhomogeneous Dirichlet Problems

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