Existence of Weak Solutions for Weighted Robin Problem Involving p.-biharmonic operator

Using Mountain Pass Theorem, we consider the existence of weak solutions of weighted Robin problem involving p . -biharmonic operator a x Δ p x 2 u = λ b ( x ) u q ( x ) - 2 u , i n Ω a ( x ) Δ u p ( x ) - 2 ∂ u ∂ υ + β ( x ) u p ( x ) - 2 u = 0 , o n ∂ Ω under some conditions in the space W a , b 2...

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Bibliographic Details
Published inDifferential equations and dynamical systems Vol. 32; no. 4; pp. 1159 - 1174
Main Authors Kulak, Öznur, Aydin, Ismail, Unal, Cihan
Format Journal Article
LanguageEnglish
Published New Delhi Springer India 01.10.2024
Springer Nature B.V
Subjects
Computer Science
Engineering
Mathematics
Mathematics and Statistics
Original Research
Weak solution
46E35
Mountain pass theorem
35J60
35J70
(.)-Biharmonic equation
35J35
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Summary:Using Mountain Pass Theorem, we consider the existence of weak solutions of weighted Robin problem involving p . -biharmonic operator a x Δ p x 2 u = λ b ( x ) u q ( x ) - 2 u , i n Ω a ( x ) Δ u p ( x ) - 2 ∂ u ∂ υ + β ( x ) u p ( x ) - 2 u = 0 , o n ∂ Ω under some conditions in the space W a , b 2 , p ( . ) Ω .
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:0971-3514
0974-6870
DOI:10.1007/s12591-022-00619-6