Meiqiang Feng, Haiping Chen
Abstract:
This article studies a fourth-order elliptic problem with and without an
eigenvalue parameter. New criteria for the existence and nonexistence of
positive solution are established under some sublinear conditions which
involve the principal eigenvalues of the corresponding linear problems.
The interesting point is that the nonlinear term \(f\) is involved in the
second-order derivative explicitly.
Submitted June 27, 2023. Published August 6, 2023.
Math Subject Classifications: 35J60, 35J40.
Key Words: Fourth-order elliptic problems; Navier boundary conditions;
positive solution; existence, uniqueness and nonexistence; principle eigenvalue.
DOI: https://doi.org/10.58997/ejde.2023.52
Show me the PDF file (335 KB), TEX file for this article.
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Meiqiang Feng School of Applied Science Beijing Information Science and Technology University Beijing, 100192, China email: meiqiangfeng@sina.com |
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Haiping Chen School of Applied Science Beijing Information Science and Technology University Beijing, 100192, China email: chpmath@sina.com |
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