相关参考文献
注意:仅列出部分参考文献,下载原文获取全部文献信息。Numerical analysis of elastica with obstacle and adhesion effects
Tomoya Kemmochi
APPLICABLE ANALYSIS (2019)
EXISTENCE, REGULARITY AND STRUCTURE OF CONFINED ELASTICAE
Francois Dayrens et al.
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS (2018)
EXISTENCE, REGULARITY AND STRUCTURE OF CONFINED ELASTICAE
Francois Dayrens et al.
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS (2018)
Explicit formulas, symmetry and symmetry breaking for Willmore surfaces of revolution
Rainer Mandel
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY (2018)
Phase Field Models for Thin Elastic Structures with Topological Constraint
Patrick W. Dondl et al.
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2017)
Symmetry for Willmore Surfaces of Revolution
Sascha Eichmann et al.
JOURNAL OF GEOMETRIC ANALYSIS (2017)
A new isoperimetric inequality for elasticae
Dorin Bucur et al.
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY (2017)
Overhanging of membranes and filaments adhering to periodic graph substrates
Tatsuya Miura
PHYSICA D-NONLINEAR PHENOMENA (2017)
The Elastic Trefoil is the Doubly Covered Circle
Henryk Gerlach et al.
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2017)
The elastica problem under area constraint
Vincenzo Ferone et al.
MATHEMATISCHE ANNALEN (2016)
Singular perturbation by bending for an adhesive obstacle problem
Tatsuya Miura
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (2016)
Analysis of constrained Willmore surfaces
Yann Bernard
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS (2016)
Boundary value problems for Willmore curves in R2
Rainer Mandel
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (2015)
An Improved Proof of Instability of Some Euler Elasticas
M. Jin et al.
JOURNAL OF ELASTICITY (2015)
Min-Max theory and the Willmore conjecture
Fernando C. Marques et al.
ANNALS OF MATHEMATICS (2014)
Energy quantization for Willmore surfaces and applications
Yann Bernard et al.
ANNALS OF MATHEMATICS (2014)
Embedded Surfaces of Arbitrary Genus Minimizing the Willmore Energy Under Isoperimetric Constraint
Laura Gioia Andrea Keller et al.
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2014)
Exponential Mapping in Euler's Elastic Problem
Yu. L. Sachkov et al.
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS (2014)
A Catalogue of Stable Equilibria of Planar Extensible or Inextensible Elastic Rods for All Possible Dirichlet Boundary Conditions
Robert S. Manning
JOURNAL OF ELASTICITY (2014)
Unstable Willmore surfaces of revolution subject to natural boundary conditions
Anna Dall'Acqua et al.
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (2013)
Euler elasticae in the plane and the Whitney-Graustein theorem
S. Avvakumov et al.
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS (2013)
Uniqueness for the homogeneous Dirichlet Willmore boundary value problem
Anna Dall'Acqua
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY (2012)
Closed Euler elasticae
Yu L. Sachkov
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS (2012)
CONFINED ELASTIC CURVES
Patrick W. Dondl et al.
SIAM JOURNAL ON APPLIED MATHEMATICS (2011)
Symmetric Willmore surfaces of revolution satisfying arbitrary Dirichlet boundary data
Anna Dall'Acqua et al.
ADVANCES IN CALCULUS OF VARIATIONS (2011)
The Willmore boundary problem
Reiner Schaetzle
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (2010)
Symmetric Willmore surfaces of revolution satisfying natural boundary conditions
Matthias Bergner et al.
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (2010)
Uniform convergence of a singular perturbation problem
Luis A. Caffarelli et al.
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS (2010)
Stability of inflectional elasticae centered at vertices or inflection points
Yu. L. Sachkov et al.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS (2010)
Solution to Euler's elastic problem
A. A. Ardentov et al.
AUTOMATION AND REMOTE CONTROL (2009)
Conjugate points in the Euler elastic problem
Yu. L. Sachkov
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS (2008)
Maxwell strata in the Euler elastic problem
Yu. L. Sachkov
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS (2008)
STABILITY AND SYMMETRY IN THE NAVIER PROBLEM FOR THE ONE-DIMENSIONAL WILLMORE EQUATION
Klaus Deckelnick et al.
SIAM JOURNAL ON MATHEMATICAL ANALYSIS (2008)
Boundary value problems for the one-dimensional Willmore equation
Klaus Deckelnick et al.
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (2007)
A unique graph of minimal elastic energy
Anders Linner et al.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY (2007)
On a modified conjecture of De Giorgi
Matthias Roger et al.
MATHEMATISCHE ZEITSCHRIFT (2006)
Global curvature and self-contact of nonlinearly elastic curves and rods
O Gonzalez et al.
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (2002)