On a class of nonhomogeneous fractional quasilinear equations in \({\mathbb{R}^n}\) with exponential growth

  • Manassés de SouzaEmail author


This paper examines a class of nonlocal equations involving the fractional p-Laplacian, where the nonlinear term is assumed to have exponential growth. More specifically, by using a suitable Trudinger–Moser inequality for fractional Sobolev spaces, we establish the existence of weak solutions for these equations.


Fractional p-Laplacian Critical growth Trudinger–Moser inequality Fixed point result Discontinuous nonlinearity 

Mathematics Subject Classification

35J92 47H10 35B33 


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Copyright information

© Springer Basel 2014

Authors and Affiliations

  1. 1.Departamento de MatemáticaUniversidade Federal da ParaíbaJoão PessoaBrazil

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