Meiqiang Feng, Yichen Lu
Abstract:
We study the existence of nontrivial weak solutions for biharmonic equations
with Navier and with Dirichlet boundary conditions.
This is done by using critical point theory for even functionals, and
the theory of strongly monotone operators.
Also we analyze the existence of infinitely many weak solutions.
This is probably the first time that the theory of strongly monotone
operator is used to study biharmonic equations.
Submitted February 4, 2025. Published May 24, 2025.
Math Subject Classifications: 35J35, 35J40.
Key Words: Biharmonic equation; Caratheodory conditions; monotone mapping;
mountain pass lemma; existence, uniqueness and multiplicity.
DOI: 10.58997/ejde.2025.52
Show me the PDF file (384 KB), TEX file for this article.
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Meiqiang Feng School of Applied Science Beijing Information Science and Technology University Beijing, 102206, China email: meiqiangfeng@sina.com |
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Yichen Lu School of Applied Science Beijing Information Science and Technology University Beijing, 102206, China email: lycmath@163.com |
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