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Volume 35, Issue 4
The Existence of Weak Solutions of a Higher Order Nonlinear Eilliptic Equation

Mingji Liu, Xu Liu & Hua Cai

Commun. Math. Res., 35 (2019), pp. 340-344.

Published online: 2019-12

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  • Abstract

In this paper, we show the existence of weak solutions for a higher order nonlinear elliptic equation. Our main method is to show that the evolution operator satisfies the fixed point theorem for Banach semilattice.

  • AMS Subject Headings

35D05

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

liumj@jlu.edu.cn (Mingji Liu)

liuxu-ping@163.com (Xu Liu)

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@Article{CMR-35-340, author = { Liu , MingjiLiu , Xu and Cai , Hua}, title = {The Existence of Weak Solutions of a Higher Order Nonlinear Eilliptic Equation}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {35}, number = {4}, pages = {340--344}, abstract = {

In this paper, we show the existence of weak solutions for a higher order nonlinear elliptic equation. Our main method is to show that the evolution operator satisfies the fixed point theorem for Banach semilattice.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2019.04.05}, url = {http://global-sci.org/intro/article_detail/cmr/13562.html} }
TY - JOUR T1 - The Existence of Weak Solutions of a Higher Order Nonlinear Eilliptic Equation AU - Liu , Mingji AU - Liu , Xu AU - Cai , Hua JO - Communications in Mathematical Research VL - 4 SP - 340 EP - 344 PY - 2019 DA - 2019/12 SN - 35 DO - http://doi.org/10.13447/j.1674-5647.2019.04.05 UR - https://global-sci.org/intro/article_detail/cmr/13562.html KW - elliptic equation, Banach semilattice, fixed point, compressed mapping. AB -

In this paper, we show the existence of weak solutions for a higher order nonlinear elliptic equation. Our main method is to show that the evolution operator satisfies the fixed point theorem for Banach semilattice.

Liu , MingjiLiu , Xu and Cai , Hua. (2019). The Existence of Weak Solutions of a Higher Order Nonlinear Eilliptic Equation. Communications in Mathematical Research . 35 (4). 340-344. doi:10.13447/j.1674-5647.2019.04.05
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