论文标题

具有超级扰动的单数(P,Q)方程的积极解决方案的存在和不存在

Existence and nonexistence of positive solutions for singular (p,q)-equations with superdiffusive perturbation

论文作者

Papageorgiou, Nikolaos S., Winkert, Patrick

论文摘要

我们考虑了由$(p,q)$ - laplacian驱动的非线性差异问题,并且具有参数性的反应,并表现出单一术语和超级延误的综合效果。根据参数$λ\ in \ Overset {\ circ} {\ mathbb {r}} _+=(0,+\ iffty)$,我们证明了正解决方案的存在和不存在。

We consider a nonlinear Dirichlet problem driven by the $(p,q)$-Laplacian and with a reaction which is parametric and exhibits the combined effects of a singular term and of a superdiffusive one. We prove an existence and nonexistence result for positive solutions depending on the value of the parameter $λ\in \overset{\circ}{\mathbb{R}}_+=(0,+\infty)$.

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