Ground state solution for differential equations with left and right fractional derivatives |
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| Authors: | César Torres |
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| Institution: | Departamento de Ingeniería Matemática and Centro de Modelamiento Matemático, Universidad de Chile, Santiago, Chile |
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| Abstract: | In this work, we study the existence of positive solutions for a class of fractional differential equation given by ![urn:x-wiley:mma:media:mma3426:mma3426-math-0001]( "urn:x-wiley:mma:media:mma3426:mma3426-math-0001") (1) where  . Using the mountain pass theorem and comparison argument, we prove that (1) at least has one nontrivial solution. Copyright © 2015 John Wiley & Sons, Ltd. |
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| Keywords: | Liouville– Weyl fractional derivative fractional Sobolev space critical point theory comparison argument ground state |
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