Existence of solutions for a resonant problem under landesman-lazer type conditions involving more general elliptic operators in divergence form
Küçük Resim Yok
Tarih
2020
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The present paper is concerned with the resonant problem ?div (a (x, ?u)) = ?1|u|p ?2 u + f (x, u) ? g(x) in ?, where ? is a bounded domain with smooth boundary in RN (N ? 2), p ? (1, ?) and div(a (x, ?u)) is a general elliptic operators in divergence form. By assuming a Landesman-Lazer type condition and using a variational method based on the Minimum Principle, we show the existence of a weak solution in the Sobolev space W0 1,p (?). © 2020, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan. All rights reserved.
Açıklama
Anahtar Kelimeler
Elliptic operators, Landesman-Lazer type conditions, Minimum Principle, P-Laplacian type operator, Resonance
Kaynak
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
WoS Q Değeri
Scopus Q Değeri
Q3
Cilt
40
Sayı
1
