Existence and multiplicity of weak solutions for eigenvalue Robin problem with weighted p(.)-Laplacian
[ X ]
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer-Verlag Italia Srl
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
By applying Mountain Pass Lemma, Ekeland's variational principle and Fountain Theorem, we prove the existence and multiplicity of solutions for the following Robin problem {-div(a(x) vertical bar del u vertical bar(p(x)-2) del u) =lambda b(x)vertical bar u vertical bar(q(x)-2) u, x is an element of Omega a(x) vertical bar del u vertical bar(p(x)-2) partial derivative u/partial derivative u + beta(x)vertical bar u vertical bar(p(x)-2) u = 0, x is an element of partial derivative Omega, under some appropriate conditions in the space W-a,b(1, p(.)) (Omega).
Açıklama
Anahtar Kelimeler
Weak solution, p(.)-Laplacian, Mountain Pass Lemma, Fountain Theorem, Ekeland variational principle
Kaynak
Ricerche Di Matematica
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
72
Sayı
2
