Regularity of weak solutions to critical exponent variational equations
From MaRDI portal
Publication:5929468
DOI10.4310/MRL.2000.v7.n5.a11zbMath0977.58020OpenAlexW2021390278MaRDI QIDQ5929468
Jeff A. Viaclovsky, Karen K. Uhlenbeck
Publication date: 2 July 2001
Published in: Mathematical Research Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4310/mrl.2000.v7.n5.a11
Variational principles in infinite-dimensional spaces (58E30) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)
Related Items
A conformally invariant sphere theorem in four dimensions ⋮ Classification of positive singular solutions to a nonlinear biharmonic equation with critical exponent ⋮ Liouville conformal field theory on even-dimensional spheres ⋮ Nonlinear Dirac equations with critical nonlinearities on compact spin manifolds ⋮ Topological methods for the resonant \(Q\)-curvature problem in arbitrary even dimension ⋮ Qualitative properties for solutions to conformally invariant fourth order critical systems ⋮ Geometric aspects of the Kapustin-Witten equations ⋮ Some analytic results on interpolating sesqui-harmonic maps ⋮ Optimal control for the Paneitz obstacle problem ⋮ Equivariant solutions to the optimal partition problem for the prescribed \(Q\)-curvature equation ⋮ Critical metrics for log-determinant functionals in conformal geometry ⋮ Non-uniqueness results for critical metrics of regularized determinants in four dimensions ⋮ Regularity and energy quantization for the Yang-Mills-Dirac equations on 4-manifolds ⋮ Critical regularity for elliptic equations from Littlewood-Paley theory ⋮ Compactness of solutions to some geometric fourth-order equations ⋮ Algebraic topological methods for the supercritical \(Q\)-curvature problem