A compactness theorem for weak solutions of higher-dimensional \(H\)-systems
From MaRDI portal
Publication:1880954
DOI10.1215/S0012-7094-04-12123-2zbMath1054.58008OpenAlexW2033284286MaRDI QIDQ1880954
Anna Zatorska-Goldstein, Paweł Strzelecki
Publication date: 27 September 2004
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/s0012-7094-04-12123-2
Degenerate elliptic equations (35J70) Variational methods for elliptic systems (35J50) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)
Related Items
The discrete Morse flow method for parabolic \(p\)-Laplacian systems, Regularity of solutions for a fourth‐order elliptic system via Conservation law, A compactness theorem of \(n\)-harmonic maps, Regularity of the \(m\)-symphonic map, A compactness result for polyharmonic maps in the critical dimension, A global existence result for the heat flow of higher dimensional H-systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The concentration-compactness principle in the calculus of variations. The limit case. I
- The concentration-compactness principle in the calculus of variations. The limit case. II
- Large H-surfaces via the mountain-pass-lemma
- Nonuniqueness in the Plateau problem for surfaces of constant mean curvature
- On the nonuniqueness of surfaces with constant mean curvature spanning a given contour
- The existence of minimal immersions of 2-spheres
- Convexity conditions and existence theorems in nonlinear elasticity
- Subelliptic \(p\)-harmonic maps into spheres and the ghost of Hardy spaces
- Weak compactness of wave maps and harmonic maps
- Weak limits of Palais-Smale sequences for a class of critical functionals
- Multiple solutions to the Plateau problem for nonconstant mean curvature
- Regularity of \(p\)-harmonic maps from the \(p\)-dimensional ball into a sphere
- A compactness result for \(p\)-harmonic maps
- Compensated compactness and Hardy spaces
- Existence and regularity for higher-dimensional \(H\)-systems
- Randwertprobleme für Flächen mit vorgeschriebener mittlerer Krümmung und Anwendungen auf die Kapillaritätstheorie. I: Fest vorgegebener Rand
- Stability theorems for mappings with bounded excursions
- An existence theorem for surfaces of constant mean curvature
- \(H^p\) spaces of several variables
- Multiple solutions ofH-systems and Rellich's conjecture
- Einige Bemerkungen über die Regularität von stationären Punkten gewisser geometrischer Variationsintegrale
- On Weak Convergence in H 1 ( R d )
- A primer on hardy spaces, and some remarks on a theorem of evans and müller
- Multiple solutions and regularity of H-systems
- Hardy space estimates for higher order differential operators
- Regularity of high-dimensional H-systems
- Characterizations of bounded mean oscillation
