caa a22 4500 606194207 CHVBK 20210128100913.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s00030-014-0293-y doi (NATIONALLICENCE)springer-10.1007/s00030-014-0293-y de Souza Manassés Departamento de Matemática, Universidade Federal da Paraíba, 58051-900, João Pessoa, PB, Brazil aut On a class of nonhomogeneous fractional quasilinear equations in $${\mathbb{R}^n}$$ R n with exponential growth [Elektronische Daten] [Manassés de Souza] 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. Springer Basel, 2014 Fractional p -Laplacian nationallicence Critical growth nationallicence Trudinger-Moser inequality nationallicence Fixed point result nationallicence Discontinuous nonlinearity nationallicence Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/4(2015-08-01), 499-511 1021-9722 22:4<499 2015 22 30 https://doi.org/10.1007/s00030-014-0293-y text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00030-014-0293-y text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- de Souza Manassés Departamento de Matemática, Universidade Federal da Paraíba, 58051-900, João Pessoa, PB, Brazil aut NATIONALLICENCE 773 0- Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/4(2015-08-01), 499-511 1021-9722 22:4<499 2015 22 30