Nodal solutions for fractional elliptic equations involving exponential critical growth

In the present paper, we study the existence of least energy nodal solution for a Dirichlet problem driven by the 12−Laplacian operator of the following type: (−Δ)12u+V(x)u=f(u)in(a,b),u=0inR∖(a,b), where V:[a,b]→[0,+∞) is a continuous potential and f(t) is a nonlinearity that grows like exp(t2) as...

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Veröffentlicht in:	Mathematical methods in the applied sciences 2020-04, Vol.43 (6), p.3650-3672
Hauptverfasser:	Souza, Manassés, Batista Severo, Uberlandio, Luiz do Rêgo, Thiago
Format:	Artikel
Sprache:	eng
Schlagworte:	Dirichlet problem Elliptic functions fractional Laplacian nodal solutions Trudinger‐Moser inequality
Online-Zugang:	Volltext
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