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A. Dall'Acqua, Manuel Schlierf
The length-preserving elastic flow with free boundary on hypersurfaces in Rⁿ

A. Dall'Acqua, Marius Müller, Fabian Rupp, Manuel Schlierf
Dimension reduction for Willmore flows of tori: fixed conformal class and analysis of singularities
 

A. Dall'Acqua, R. Schätzle,
Rotational symmetric Willmore surfaces with umbilic lines.

A. Dall'Acqua, A. Spener
The elastic flow of curves in the hyperbolic plane

A. Dall'Acqua, M. Müller, S. Okabe, K. Yoshizawa

Calculus of Variation and PDEs Vol. 63 Nr. 6 (2024)
(Open access)

A. Dall'Acqua, G. Jankowiak, L. Langer, F. Rupp,

Siam Journal on Mathematical Analysis Vol.56 Iss.4 (2024) 4494–-4529.
(Open access)

A. Dall'Acqua, L. Langer, F. Rupp,
A dynamic approach to heterogeneous elastic wires
Journal of Differential Equations 392 (2024) 1--42

A. Dall'Acqua, M. Müller, R. Schätzle, A. Spener
The Willmore Flow of Tori of Revolution
to appear in Analysis and PDEs

A. Dall'Acqua, K. Deckelnick,
Elastic graphs with clamped boundary and length constraints
Annali di Matematica Pura ed Applicata (1923 -) (2023)

A. Dall'Acqua, C.-C. Lin, P.Pozzi
Elastic flow of networks: short-time existence result.
J. Evol. Equ. 21 (2021), no. 2, 1299–1344.

A. Dall'Acqua, C.-C. Lin, P.Pozzi
Elastic flow of networks: long-time existence result
Geom. Flows 4 (2019), no. 1, 83–136.

A. Dall'Acqua, A. Spener
Circular solutions to the elastic flow in hyperbolic space

Proceedings of the conference
Analysis on Shapes of Solutions to Partial Differential Equations,
Kyoto 2017/06/05--2017/06/07

A. Dall'Acqua, M. Novaga, A.Pluda,
Minimal elastic networks
Indiana Univ. Math. J. 69 (2020), no. 6, 1909–1932.

A. Dall'Acqua, K. Deckelnick,
An Obstacle Problem for Elastic Graphs.
SIAM J. Math. Anal. 50 (2018), no. 1, 119–137.
 

A. Dall'Acqua, T. Laux, C.-C. Lin, P. Pozzi, A. Spener
The elastic flow of curves in the sphere,
Geom. Flows 3 (2018), 1-13.

A. Dall'Acqua, A. Pluda,
Some minimization problems for planar networks of elastic curves.
Geom. Flows 2 (2017), 105–124.

A. Dall'Acqua, C.-C. Lin, P. Pozzi,
A gradient flow for open elastic curves with fixed length and clamped ends
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 17 (2017), no. 3, 1031–1066.

A. Dall'Acqua, P. Pozzi, A. Spener
The Lojasiewicz-Simon gradient inequality for open elastic curves
J.Differential Equations 261 (2016), no. 3, 2168–2209.

 A. Dall'Acqua, P. Pozzi,
On a Willmore-Helfrich L^2-flow of open curves in R^n: a different approach
published in
Proceedings of the conference
Shapes and othe properties of the solutions of PDEs,
Kyoto 2014/11/05--2014/11/07

A. Dall'Acqua, P. Hornung,
Global structure of the singular set of energy minimising bendings
Nonlinearity 28 (2015) No. 11, 3821--3844.

A. Dall'Acqua, D. Mugnolo, M. Schelling
Gershgorin's theorem for matrices of unbounded operators.
Math.Nach. 288 (2015) No. 17-18, 1981--1994.

Preprint Version:

A. Dall'Acqua, C.-C. Lin, P. Pozzi
Evolution of open elastic curves in Rn subject to fixed length and natural boundary conditions.
Analysis (DeGruyter) 34 (2014) nr. 2, 209-222.

A. Dall'Acqua, P. Pozzi
A Willmore-Helfrich L^2-flow of curves with natural boundary conditions.
Comm.Anal.Geom. 22 (2014) nr. 4, 617-691.

Preprint version:

A. Dall'Acqua, S. Fournais, T. Østergaard-Sørensen, E. Stockmeyer,
Real analyticity of solutions to Schödinger equations involving a fractional Laplacian and other Fourier multipliers
XVIIth International Congress on Mathematical Physics (2013), 600–609 (Proceedings of ICMP12, Aalborg, Denmark, August 6–11, 2012).
Preprint version:

A. Dall'Acqua, K. Deckelnick, G. Wheeler
Unstable Willmore surfaces of revolution subject to natural boundary conditions
Calc.Var. P.D.E. 48 (2013) 293-313.
Preprint version: PDF Copyright: Springer-Verlag.
The original article is available at , DOI: 10.1007/s00526-012-0551-y.

A. Dall'Acqua, S. Fournais, T. Østergaard-Sørensen, E. Stockmeyer,
Real Analyticity away from the nucleus of pseudorelativistic Hartree-Fock orbitals
Analysis & PDE, 5 (2012) nr. 3, 657-691. DOI: 10.2140/apde.2012.5-3
Preprint version:
Copyright: mathematical sciences publishers. The original article is available at .

A. Dall'Acqua,
Uniqueness for the homogeneous Dirichlet Willmore boundary value problem
Annals of Global Analysis and Geometry, 42 (2012) nr.3, 411-420. DOI: 10.1007/s10455-012-9320-6.
Preprint and extended version: PDF
Copyright: Springer-Verlag. The original article is available at .

M. Bergner, A. Dall'Acqua, S. Fröhlich,
Willmore surfaces of revolution with two prescribed boundary circles
Accepted for publication in Journal of Geometric Analysis.
Preprint version: PDF Copyright: Springer-Verlag.
The original article is available at , DOI:10.1007/s12220-011-9248-2.

A. Dall'Acqua, J.P. Solovej,
Excess charge for pseudo-relativistic atoms in Hartree-Fock theory
Documenta Mathematica, 15 (2010), 285--345.
Preprint version:
Copyright: Documenta mathematica. The original article is available at Volume 15.

M. Bergner, A. Dall'Acqua, S. Fröhlich,
Symmetric Willmore Surfaces of revolution satisfying natural boundary conditions
Calculus of Variations and Partial Differential Equations 39 (2010), 553--576.
Preprint version: PDF
Copyright: Springer-Verlag. The original article is available at .

A. Dall'Acqua, S. Fröhlich, H.-Ch. Grunau, F. Schieweck,
Symmetric Willmore Surfaces of revolution satisfying arbitrary Dirichlet boundary data
Advances in Calculus of Variations 4 (2011), 1--81.
Preprint version: PDF
Copyright: de Gruyter. The original article is available at .

A. Dall'Acqua, K. Deckelnick, H.-Ch. Grunau,
Classical solutions to the Dirichlet problem for Willmore surfaces of revolution
Advances in Calculus of Variations 1 (2008), 379--397.
Preprint version: PDF
Copyright: de Gruyter. The original article is available at .

A. Dall'Acqua, E. Stockmeyer, T. Østergaard-Sørensen,
Hartree-Fock theory for pseudorelativistic atoms
Ann.Henri Poincaré 9 (2008) no.4, 711--742.
Preprint version:
Copyright: Elsevier. The original article is available at .

M. van den Berg, A. Dall'Acqua, G.Sweers,
Estimates for the expected lifetime of conditioned Brownian motion
Proc. Roy. Soc. Edinburgh Sect. A 137 (2007) no.5, 1091--1099.
Preprint version: PDF
Copyright: Cambridge Journals. The original article is available at .

A. Dall'Acqua,
On the lifetime of a conditioned Brownian motion in the ball
J. Math. Anal. Appl. 335 (2007) no.1, 389--405.
Preprint version: PDF
Copyright: Elsevier. The original article is available at .

A. Dall'Acqua, Ch. Meister, G. Sweers,
Separating positivity and regularity for fourth order Dirichlet problems in 2d-domains
Analysis (Munich) 25 (2005) no.3, 205--261.
Preprint version: PDF
Copyright: Oldenbourg. The original article is available at .

A. Dall'Acqua, G. Sweers,
The clamped plate equation for the limacon
Ann. Mat. Pura Appl. (4) 184 (2005) no.3, 361--374.
Preprint version: PDF
Copyright: Springer. The original article is available at .

A. Dall'Acqua, H.-Ch. Grunau, G. Sweers,
On a conditioned Brownian motion and a maximum principle on the disk
J. Anal. Math. 93 (2004), 309--329.
Preprint version: PDF
The original article is available at .

A. Dall'Acqua, G. Sweers,
On domains for which the clamped plate system is positivity preserving
Partial Differential Equations and inverse problems, 133--144, Contemp. Math., 362, Amer.Math.Soc. Providence, RI (2004).
Preprint version: PDF
Coyright: AMS. The original article is available at .

A. Dall'Acqua, G. Sweers,
Estimates for Green function and Poisson kernels of higher-order Dirichlet boundary value problems
J. Differential Equations 205 (2004), no.2, 466--487.
Preprint version: PDF
Copyright: Elsevier. The original article is available at .

A. Dall'Acqua,
Positive solutions for a class of reaction-diffusion systems,
Commun. Pure Appl. Anal. 2 (2003), no.1, 65--76.
Copyright: AIMS. The original article is available at .

A. Dall'Acqua
Esistenza di soluzioni positive per sistemi di tipo reazione-diffusione
Tesi di laurea (Diplom), Università degli Studi di Trieste (2001)
Supervisor: Prof.Dr. E. Mitidieri

A. Dall'Acqua

Dissertationsschrift, Delft University of Technology (2005)
Supervisors: Prof.Dr. Ph.P.J.E. Clément, Prof.Dr. G.H. Sweers

A. Dall'Acqua

Kumulative Habilitationsschrift, Otto-von-Guericke Universität Magdeburg (2011)