Almost all weak solutions of the weighted p(.)-biharmonic problem
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Date
2024
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Springernature
Access Rights
info:eu-repo/semantics/closedAccess
Abstract
We give a new compact embedding theorem, and use an equivalent norm to obtain some different solutions of the weighted p(.)-biharmonic eigenvalue problem [GRAPHICS] Using Mountain Pass Theorem we show that the problem has a nontrivial weak solution. Moreover, we obtain infinite many pairs of solutions of the problem due to the Fountain Theorem.
Description
Keywords
Weighted p(.)-biharmonic operator, Poincare inequality, Variational methods
Journal or Series
Journal of Analysis
WoS Q Value
N/A
Scopus Q Value
Q2
Volume
32
Issue
1
