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Positive solutions for some competitive fractional systems in bounded domains
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نویسنده
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bachar i. ,mâagli h. ,zeddini n.
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منبع
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journal of function spaces - 2013 - دوره : 2013 - شماره : 0
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چکیده
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Using some potential theory tools and the schauder fixed point theorem,we prove the existence and precise global behavior of positive continuous solutions for the competitive fractional system (-δ|d)α/2u+p(x) uσvr=0,(-δ|d)α/2v+q(x)u svβ=0 in a bounded c1,1-domain d in ℝn (n≥3),subject to some dirichlet conditions,where 0<α<2,σ,β≥1,s,r≥0. the potential functions p,q are nonnegative and required to satisfy some adequate hypotheses related to the kato class of functions kα(d). © 2013 imed bachar et al.
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آدرس
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mathematics department,college of science,king saud university,p.o. box 2455, Saudi Arabia, department of mathematics,king abdulaziz university,rabigh campus,p.o. box 344, Saudi Arabia, department of mathematics,king abdulaziz university,rabigh campus,p.o. box 344, Saudi Arabia
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Authors
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