Теоремы существования для одного класса систем, содержащих два квазилинейных оператора

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Аннотация

Изучаются вопросы существования положительных радиальных решений дляквазилинейных систем вида$$\begin{cases}\Delta_{\phi_1}u=a_1(|x|)f_1(v),\Delta_{\phi_2}v=a_2(|x|)f_2(u),\end{cases}\quad x\in \mathbb{R}^N, \quad N\ge 3,$$где $\Delta_{\phi}w:=\operatorname{div}(\phi(|\nabla w|)\nabla w)$, при надлежащих условиях на функции $\phi_1$, $\phi_2$, веса $a_1$, $a_2$ и нелинейности $f_1,$ $f_2$. Предлагаемые нами условия существования решений рассматриваемых систем отличаются от условий из предыдущих результатов.Библиография: 31 наименование.

Об авторах

Драгош-Патру Ковеи

The Bucharest Uviversity of Economic Studies

доктор физико-математических наук, доцент

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© Ковеи Д., 2019

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