QUANTIZATION FOR THE PRESCRIBED Q-CURVATURE EQUATION ON OPEN DOMAINS
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Publication:3013901
DOI10.1142/S0219199711004373zbMath1230.35042arXiv1003.4000OpenAlexW3104566933MaRDI QIDQ3013901
Publication date: 19 July 2011
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1003.4000
Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Higher-order elliptic equations (35J30) Semilinear elliptic equations (35J61)
Related Items
Normal conformal metrics on \(\mathbb{R}^4\) with \(Q\)-curvature having power-like growth ⋮ Normal conformal metrics on \(\mathbb{R}^4\) with singular \(Q\)-curvature having power-like growth ⋮ The nonlocal Liouville-type equation in \(\mathbb {R}\) and conformal immersions of the disk with boundary singularities ⋮ Large blow-up sets for the prescribed Q-curvature equation in the Euclidean space ⋮ Existence and compactness of conformal metrics on the plane with unbounded and sign-changing Gaussian curvature ⋮ Conformal metrics on \(\mathbb R^{2m}\) with constant \(Q\)-curvature and large volume ⋮ Conformal metrics on \(\mathbb{R}^{2m}\) with constant \(Q\)-curvature, prescribed volume and asymptotic behavior ⋮ Nonexistence of solutions to singular Q-curvature equations ⋮ Gluing metrics with prescribed $Q$-curvature and different asymptotic behaviour in high dimension ⋮ Existence and asymptotics for solutions of a non-local Q-curvature equation in dimension three ⋮ Concentration phenomena to a higher order Liouville equation
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