Positive solutions for quasilinear system by using of weak sub-super solutions method and energy function

Document Type : Research Articles

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Faculty of Basic Sciences, Shahid Sattari Aeronautical University of Science and Technology, South Mehrabad, Tehran, Iran

Abstract

‎In this paper we consider the quasilinear system‎
‎Missing or unrecognized delimiter for \right‎
‎\‎
‎where‎, ‎Ω is a bounded domain in Rn with smooth‎
‎boundary ∂Ω, λ>0 is a parameter‎. ‎Here g is‎
‎C1 sign-changing function that may be negative near the boundary‎
‎and h1,h2,f1,f2 are nondecreasing and satisfy in‎
‎additional conditions that we shall express the follow‎. ‎Also we‎
‎introduce the energy functional associate our problem then by energy‎
‎functional we will discuss in context existence of solution for‎
‎said problem‎.
‎\end{abstract}‎

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