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oai:bayburt-rdlopen.rawdatalibrary.net:bayburt/134252026-10-29T19:10:56Zopenairecom_bayburt_10000col_bayburt_10001

Existence of solutions for a resonant problem under landesman-lazer type conditions involving more general elliptic operators in divergence formAyazoglu, RabilŞule Şener, SidikaAydın, Tuba AğırmanElliptic operatorsLandesman-Lazer type conditionsMinimum PrincipleP-Laplacian type operatorResonanceThe present paper is concerned with the resonant problem −div (a (x, ∇u)) = λ1|u|p −2 u + f (x, u) − g(x) in Ω, where Ω 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 (Ω).Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan2020Articlehttps://rdlopen.rawdatalibrary.net/r/bayburt/134253005-8139enTransactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciencesinfo:eu-repo/semantics/closedAccessinfo:eu-repo/semantics/articlehttps://bayburt-rdlopen.rawdatalibrary.net/tr/items/bayburt/13425