We study conformal metrics on $R{3}$, i.e., metrics of the form $g_u=e^{2u}|dx|^2$, which have constant $Q$-curvature and finite volume. This is equivalent to studying the non-local equation egin{equation*}%label{eq00} (-Delta)^rac32 u = 2 e^{3u} ext{ in }R{3},quad V:=int_{R{3}}e^{3u}dx
Existence and asymptotics for solutions of a non-local Q-curvature equation in dimension three / Jin, Tl; Maalaoui, A; Martinazzi, L; Xiong, Jg. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - 52:3-4(2015), pp. 469-488. [10.1007/s00526-014-0718-9]
Existence and asymptotics for solutions of a non-local Q-curvature equation in dimension three
Martinazzi L;
2015
Abstract
We study conformal metrics on $R{3}$, i.e., metrics of the form $g_u=e^{2u}|dx|^2$, which have constant $Q$-curvature and finite volume. This is equivalent to studying the non-local equation egin{equation*}%label{eq00} (-Delta)^rac32 u = 2 e^{3u} ext{ in }R{3},quad V:=int_{R{3}}e^{3u}dxFile allegati a questo prodotto
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