Ayazoglu, RabilŞule Şener, SidikaAydın, Tuba Ağırman2024-10-042024-10-0420202306-2193http://hdl.handle.net/20.500.12403/3968The 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.eninfo:eu-repo/semantics/closedAccessElliptic operatorsLandesman-Lazer type conditionsMinimum PrincipleP-Laplacian type operatorResonanceArticle40152652-s2.0-85084567133Q3