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J. Jost (1983)
Existence proofs for harmonic mappings with the help of a maximum principleMathematische Zeitschrift, 184
Y Zhang, Y Wang, J Liu (1998)
Negative exponential harmonic mapsJ. Beijing Normal Univ. (Nat. Sci.), 34
Jiancheng Liu (2008)
Nonexistence of Stable Exponentially Harmonic Maps from or into Compact Convex Hypersurfaces in R^{m+1}Turkish Journal of Mathematics, 32
Antonin Kanfon, A. Füzfa, Dominique Lambert (2002)
Some examples of exponentially harmonic mapsJournal of Physics A, 35
J. Sacks, Karen Uhlenbeck (1981)
The Existence of Minimal Immersions of 2-SpheresAnnals of Mathematics, 113
L. Lemaire (1982)
Boundary value problems for harmonic and minimal maps of surfaces into manifoldsAnnali Della Scuola Normale Superiore Di Pisa-classe Di Scienze, 9
Y. Chiang (2013)
Exponentially Harmonic Maps
Hong Min-Chun (1992)
On the conformal equivalence of harmonic maps and exponentially harmonic mapsBulletin of The London Mathematical Society, 24
Y. Chiang, Yihu Yang (2007)
Exponential wave mapsJournal of Geometry and Physics, 57
L. Bers (2011)
Quasiconformal mappings and Teichmuller's theorem
J. Eells, L. Lemaire (1992)
Some properties of exponentially harmonic mapsBanach Center Publications, 27
(1966)
Integrals in theCalculus ofVariations,GrundlehrenMathWiss
T. Omori (2011)
On Eells-Sampson’s existence theorem for harmonic maps via exponentially harmonic mapsNagoya Mathematical Journal, 201
Y. Chiang (2017)
Equivariant exponentially harmonic maps between manifolds with metrics of signaturesAsian-european Journal of Mathematics, 10
A. Fotiadis, C. Daskaloyannis (2020)
Harmonic maps between surfaces
S. Hildebrandt (1970)
On the plateau problem for surfaces of constant mean curvatureCommunications on Pure and Applied Mathematics, 23
L. Lemaire (1978)
Applications harmoniques de surfaces riemanniennesJournal of Differential Geometry, 13
Y. Chiang (2013)
Developments of Harmonic Maps, Wave Maps and Yang-Mills Fields into Biharmonic Maps, Biwave Maps and Bi-Yang-Mills Fields
S. Hildebrandt, Kjell-Ove Widman (1975)
Some regularity results for quasilinear elliptic systems of second orderMathematische Zeitschrift, 142
JQ Hong, Y Yang (1993)
Some results on exponentially harmonic mapsChin. Ann. Math. Ser. A, 14
C. Morrey (1966)
Multiple Integrals in the Calculus of Variations
(1977)
Kaul,H.,Widman,K.-O.:An existence theorem for harmonicmappings ofRiemannian manifolds
Y. Chiang (2015)
Exponentially harmonic maps and their propertiesMathematische Nachrichten, 288
D. Duc, J. Eells (1991)
REGULARITY OF EXPONENTIALLY HARMONIC FUNCTIONSInternational Journal of Mathematics, 02
Y. Chiang (2018)
Exponentially harmonic maps between Finsler manifoldsmanuscripta mathematica, 157
(1980)
Nonlinear elliptic systems and harmonic mappings
Y. Chiang (2016)
Exponentially harmonic maps, exponential stress energy and stabilityCommunications in Contemporary Mathematics, 18
L. Cheung, P. Leung (1999)
The second variation formula for exponentially harmonic mapsBulletin of the Australian Mathematical Society, 59
T. Omori (2012)
ON SACKS–UHLENBECK'S EXISTENCE THEOREM FOR HARMONIC MAPS VIA EXPONENTIALLY HARMONIC MAPSInternational Journal of Mathematics, 23
Y. Chiang, R. Wolak (2013)
Transversal wave maps and transversal exponential wave mapsJournal of Geometry, 104
S Hildebrandt, H Kaul, K-O Widman (1977)
An existence theorem for harmonic mappings of Riemannian manifoldsActa Math., 138
C Morrey (1966)
Multiple Integrals in the Calculus of Variations, Grundlehren Math Wiss
We show the maximum principle for exponential energy minimizing maps. We then estimate the distance of two image points of an exponentially harmonic map between surfaces. We also study the existence of an exponentially harmonic map between surfaces if the image is contained in a convex disc. We finally investigate the existence of an exponentially harmonic map $$f:M_1\rightarrow M_2$$ f : M 1 → M 2 between surfaces in case $$\pi _2 (M_2) = \emptyset $$ π 2 ( M 2 ) = ∅ .
Analysis and Mathematical Physics – Springer Journals
Published: Dec 1, 2018
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