Volume 36, Issue 4
Existence of Unbounded Solutions for a $n$-th Order BVPs with a $p$-Laplacian

Gaosheng Yan, Hairong Lian, Xinyu Fang & Yue Gao

Ann. Appl. Math., 36 (2020), pp. 391-406.

Published online: 2021-01

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This paper considers the solvability of boundary value problems with a $p$-Laplacian

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By using the methods of upper and lower solution, the schäuder fixed point theorem, and the degree theory, we obtain the existence of one and triple solutions. This paper generalizes several problems due to the dependence on the $p$-Laplacian operator, the $n − 1$-th derivative not only in the differential equation but also in the boundary conditions. The most interesting point is that the solutions may be unbounded.

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@Article{AAM-36-391, author = {Yan , GaoshengLian , HairongFang , Xinyu and Gao , Yue}, title = {Existence of Unbounded Solutions for a $n$-th Order BVPs with a $p$-Laplacian}, journal = {Annals of Applied Mathematics}, year = {2021}, volume = {36}, number = {4}, pages = {391--406}, abstract = {

This paper considers the solvability of boundary value problems with a $p$-Laplacian

image.png

By using the methods of upper and lower solution, the schäuder fixed point theorem, and the degree theory, we obtain the existence of one and triple solutions. This paper generalizes several problems due to the dependence on the $p$-Laplacian operator, the $n − 1$-th derivative not only in the differential equation but also in the boundary conditions. The most interesting point is that the solutions may be unbounded.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/18587.html} }
TY - JOUR T1 - Existence of Unbounded Solutions for a $n$-th Order BVPs with a $p$-Laplacian AU - Yan , Gaosheng AU - Lian , Hairong AU - Fang , Xinyu AU - Gao , Yue JO - Annals of Applied Mathematics VL - 4 SP - 391 EP - 406 PY - 2021 DA - 2021/01 SN - 36 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/18587.html KW - $p$-Laplacian, upper solutions, lower solutions, infinite interval, degree theory. AB -

This paper considers the solvability of boundary value problems with a $p$-Laplacian

image.png

By using the methods of upper and lower solution, the schäuder fixed point theorem, and the degree theory, we obtain the existence of one and triple solutions. This paper generalizes several problems due to the dependence on the $p$-Laplacian operator, the $n − 1$-th derivative not only in the differential equation but also in the boundary conditions. The most interesting point is that the solutions may be unbounded.

Gaosheng Yan, Hairong Lian, Xinyu Fang & Yue Gao. (2021). Existence of Unbounded Solutions for a $n$-th Order BVPs with a $p$-Laplacian. Annals of Applied Mathematics. 36 (4). 391-406. doi:
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