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MSC: 00A17 00A05 01A60 11T23 11T24 26A27 30H05 33E99 40E05 42A05 42C20 46B09 46B25 46J15 46J20 54E52 30-01 47-01 37-01 30A99 30B10 30C80 37F10 30D45 47B38 47B35

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Hornung, Peter; Moser, Roger

Intrinsically \(p\)-biharmonic maps. (English) Zbl 1314.58006

Calc. Var. Partial Differ. Equ. 51, No. 3-4, 597-620 (2014).

Reviewer: Gabjin Yun (Yongin)

MSC: 58E20 35J35

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Dong, Yuxin; Lin, Hezi

Monotonicity formulae, vanishing theorems and some geometric applications. (English) Zbl 1303.53046

Q. J. Math. 65, No. 2, 365-397 (2014).

MSC: 53C20 53C55 53C43 58A10

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Pigola, Stefano; Setti, Alberto G.

Global divergence theorems in nonlinear PDEs and geometry. (English) Zbl 1295.31002

Ensaios Matemáticos 26. Rio de Janeiro: Sociedade Brasileira de Matemática (ISBN 978-85-8337-022-2/pbk). 77 p. (2014).

MSC: 31-02 31C12 31C15 31C45 58E20 53C21

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Giacomelli, Lorenzo; Mazón, Jose M.; Moll, Salvador

The 1-harmonic flow with values in a hyperoctant of the \(n\)-sphere. (English) Zbl 1295.35260

Anal. PDE 7, No. 3, 627-671 (2014).

MSC: 35K55 49Q20 53C22 35K67 35K92 49J45 53C44 58E20 68U10

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Dal Jung, Seoung

Liouville type theorem for \(p\)-harmonic maps. II. (English) Zbl 1286.53071

Commun. Korean Math. Soc. 29, No. 1, 155-161 (2014).

MSC: 53C43 58E20 58J50

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Found 289 Documents (Results 1–100)

\(n\)-harmonicity, minimality, conformality and cohomology. (English) Zbl 07931642

\(p\)-parabolicity and a generalized Bochner’s method with applications. (English) Zbl 07919687

Liouville type theorems for generalized \(P\)-harmonic maps. (English) Zbl 07919184

Weighted \(p\)-basic harmonic forms and its applications. (English) Zbl 07904718

Transverse measures and best Lipschitz and least gradient maps. (English) Zbl 07902275

On \(p\)-biharmonic curves. (English) Zbl 07867874

Rigidity properties of \(p\)-biharmonic maps and \(p\)-biharmonic submanifolds. (English) Zbl 07845459

Complete noncompact submanifolds of manifolds with negative curvature. (English) Zbl 1534.53041

\(p\)-biharmonic maps between warped product manifolds. (English) Zbl 1531.53067

On the \(p\)-biharmonic submanifolds and stress \(p\)-bienergy tensors. (English) Zbl 1542.53023

\(p\)-biharmonic hypersurfaces in Einstein space and conformally flat space. (English) Zbl 1528.53058

Geometry of \((p, f)\)-bienergy variations between Riemannian manifolds. (English) Zbl 1529.53061

New types of metrics deformations and applications to \(p\)-biharmonic maps. (English) Zbl 1538.53092

Asymptotic behavior of minimizing \(p\)-harmonic maps when \(p \nearrow 2\) in dimension 2. (English) Zbl 1536.58009

Explicit harmonic morphisms and \(p\)-harmonic functions from the complex and quaternionic Grassmannians. (English) Zbl 1523.31012

Level set methods in the study of scalar curvature. (English) Zbl 1533.53005

Explicit \(p\)-harmonic functions on the real Grassmannians. (English) Zbl 1528.53054

On \(p\)-harmonic self-maps of spheres. (English) Zbl 1526.58003

A note on \(p\)-harmonic \(\ell\)-forms on complete non-compact manifolds. (English) Zbl 1509.53072

Spectral Synthesis in the Multidimensional Fourier Algebra and the Varopolous Algebra for Compact Groups. arXiv:2307.16233

Dynamics of \(L^p\) multipliers on harmonic manifolds. (English) Zbl 07675755

On the generalized of \(p\)-harmonic maps. (English) Zbl 1506.53079

On critical nonlinear boundary problems for \(p\)-harmonic functions on Riemannian manifolds. (English) Zbl 1508.58005

A fractional version of Rivière’s \(\mathrm{GL(n)}\)-gauge. (English) Zbl 1494.42031

Vanishing theorems for \(p\)-harmonic forms on Riemannian manifolds. (English) Zbl 1495.53085

Regularity of weak solution of variational problems modeling the Cosserat micropolar elasticity. (English) Zbl 1489.35035

Explicit proper \(p\)-harmonic functions on the Riemannian symmetric spaces \(\mathbf{SU} (n)/\mathbf{SO} (n)\), \(\mathbf{Sp} (n)/\mathbf{U} (n)\), \(\mathbf{SO} (2n)/\mathbf{U} (n)\), \(\mathbf{SU} (2n)/\mathbf{Sp} (n)\). (English) Zbl 1486.31020

Boundary regularity for manifold constrained \(p ( x )\)-harmonic maps. (English) Zbl 1511.35129

Regularity of \(p\)-harmonic mappings into NPC spaces. (English) Zbl 1513.58007

On the bi-\(p\)-harmonic maps and the conformal maps. (English) Zbl 1499.31016

On the generalized of \(p\)-harmonic and \(f\)-harmonic maps. (English) Zbl 1483.53084

Liouville type theorems and stability of \(\Phi_{S,p}\)-harmonic maps. (English) Zbl 1471.58021

Gradient estimate and Liouville theorems for \(p\)-harmonic maps. (English) Zbl 1477.53066

Quantitative regularity for \(p\)-minimizing maps through a Reifenberg theorem. (English) Zbl 1472.35081

Vanishing theorems for \(p\)-harmonic \(\ell\)-forms on Riemannian manifolds with a weighted Poincaré inequality. (English) Zbl 1468.53040

Explicit \(p\)-harmonic functions on rank-one Lie groups of Iwasawa type. (English) Zbl 1464.53070

A converse to the Schwarz lemma for planar harmonic maps. (English) Zbl 1467.30017

Stationary maps into the sphere omitting a totally geodesic subsphere of codimension two. (English) Zbl 1458.58010

Bubble tree convergence of conformally cross product preserving maps. (English) Zbl 1479.53065

Vanishing theorems on smooth metric measure spaces with a weighted \(p\)-Poincaré inequality. (English) Zbl 1474.53204

The Radó-Kneser-Choquet theorem for \(p\)-harmonic mappings between Riemannian surfaces. (English) Zbl 1460.35119

A Liouville-type theorem and Bochner formula for harmonic maps into metric spaces. (English) Zbl 1458.58011

\(p\)-harmonic maps to \(S^1\) and stationary varifolds of codimension two. (English) Zbl 1475.58009

Epsilon-regularity for \(p\)-harmonic maps at a free boundary on a sphere. (English) Zbl 1451.58006

Nonexistence of proper \(p\)-biharmonic maps and Liouville type theorems. I: Case of \(p\ge 2\). (English) Zbl 1456.53052

Vanishing theorems for \(L^2\) harmonic \(p\)-forms on Riemannian manifolds with a weighted \(p\)-Poincaré inequality. (English) Zbl 1441.53054

New explicit solutions to the \(p\)-Laplace equation based on isoparametric foliations. (English) Zbl 1440.53026

On symmetric Willmore surfaces in spheres. II: The orientation reversing case. (English) Zbl 1436.53042

Proper \(r\)-harmonic functions from Riemannian manifolds. (English) Zbl 1439.31008

\(F\)-biharmonic maps into general Riemannian manifolds. (English) Zbl 1513.58010

Some regularity results for \(p\)-harmonic mappings between Riemannian manifolds. (English) Zbl 1432.58011

Existence of \(p\)-energy minimizers in homotopy classes and lifts of Newtonian maps. (English) Zbl 1428.53052

\(L^{p}\) harmonic 1-forms on submanifolds in spheres. (English) Zbl 1415.53048

Quantitative regularity for \(p\)-harmonic maps. (English) Zbl 1414.53058

Global existence and partial regularity for the \(p\)-harmonic flow. (English) Zbl 1489.58007

Conformality and \(Q\)-harmonicity in sub-Riemannian manifolds. (English. French summary) Zbl 1411.53024

Some isolation results for \(f\)-harmonic maps on weighted Riemannian manifolds with boundary. (English) Zbl 1457.53019

Reduced \(p\)-modulus, \(p\)-harmonic radius and \(p\)-harmonic Green’s mappings. (English) Zbl 1428.31008

Energy gaps for \(p\)-Yang-Mills fields over compact Riemannian manifolds. (English) Zbl 1408.58011

The rectified \(n\)-harmonic map flow with applications to homotopy classes. (English) Zbl 1404.53079

Operator-valued Triebel-Lizorkin spaces. (English) Zbl 1508.46029

On the \(p\)-harmonic and \(p\)-biharmonic maps. (English) Zbl 1406.53067

Vanishing properties of \(p\)-harmonic \(\ell\)-forms on Riemannian manifolds. (English) Zbl 1398.53052

Bernoulli maps on \(\mathbf{Z}_p\) in the expansions of van der Put and Mahler. (English) Zbl 1394.37128

Subcoordinate representation of \(p\)-adic functions and generalization of Hensel’s lemma. (English. Russian original) Zbl 1411.37077

Equivariant biharmonic maps between manifolds with metrics of signature. (English) Zbl 1397.58004

Fractional div-curl quantities and applications to nonlocal geometric equations. (English) Zbl 1440.42114

\(p\)-harmonic \(l\)-forms on complete noncompact submanifolds in sphere with flat normal bundle. (English) Zbl 1387.53072

Some results of the \(f\)-biharmonic maps and applications. (English) Zbl 1387.31010

Liouville type theorem about \(p\)-harmonic function and \(p\)-harmonic map with finite \(L^q\)-energy. (English) Zbl 1381.53108

Solving variational problems and partial differential equations that map between manifolds via the closest point method. (English) Zbl 1375.35586

Correction and addendum to “Boundary regularity of minimizers of \(p(x)\)-energy functionals”. (English) Zbl 1379.49035

On a class of rotationally symmetric \(p\)-harmonic maps. (English) Zbl 1377.58009