Page 1 Lecture Notes in Mathematics Filippo Gazzola Hans-Christoph Grunau Guido Sweers
Polyharmonic Boundary Value Problems 1991 Positivity Preserving and Nonlinear Higher …

Best constants for Sobolev inequalities for higher order fractional derivatives Page 1 J. Math.
Anal. Appl. 295 (2004) 225–236 www.elsevier.com/locate/jmaa Best constants for Sobolev …

In this paper we consider Riemannian manifolds (Mn, g) of dimension n≥ 5 with semi-
positive Q-curvature and non-negative scalar curvature. Under these assumptions we prove …

Making use of integral representations, we develop a unified approach to establish blow up
profiles, compactness and existence of positive solutions of the conformally invariant …

Function theory and Sobolev inequalities have been the target of investigation for many
years. Sharp constants in these inequalities constitute a critical tool in geometric analysis …

For a smooth compact Riemannian manifold with positive Yamabe invariant, positive Q‐
curvature, and dimension at least 5, we prove the existence of a conformal metric with …

In this paper we study some fourth order elliptic equation involving the critical Sobolev
exponent, related to the prescription of a fourth order conformal invariant on the standard …

In this paper we perform a fine blow up analysis for a fourth order elliptic equation involving
critical Sobolev exponent, related to the prescription of some conformal invariant on the …

Calculus of Variations Page 1 DOI (Digital Object Identifier) 10.1007/s005260100134 Calc. Var.
15, 493–517 (2002) Calculus of Variations Pierpaolo Esposito · Frédéric Robert Mountain pass …

We study a natural counterpart of the Nirenberg problem, namely to prescribe the Q-
curvature of a conformal metric on the standard S4 as a given function f. Our approach uses …