H. Grunau

发表

Life and Work of Friedrich Hirzebruch

H. Grunau, 2017 .

Minimising a relaxed Willmore functional for graphs subject to boundary conditions

K. Deckelnick, H. Grunau, M. Roger, 2015, 1503.01275.

Quantitative Modeling of Emission Markets

H. Grunau, 2017 .

Positivity for perturbations of polyharmonic operators with Dirichlet boundary conditions in two dimensions

H. Grunau, G. Sweers, H. Grunau, 1995 .

Polyharmonic Boundary Value Problems

F. Gazzola, H. Grunau, G. Sweers, 2010 .

Preface Issue 2-2013

H. Grunau, 2013 .

A clamped plate with a uniform weight may change sign

Guido Sweers, Hans-Christoph Grunau, H. Grunau, 2014 .

Preface Issue 4-2015

H. Grunau, 2015 .

The Dirichlet problem for supercritical biharmonic equations with power-type nonlinearity

H. Grunau, A. Ferrero, 2007 .

Positivity and Almost Positivity of Biharmonic Green’s Functions under Dirichlet Boundary Conditions

Hans-Christoph Grunau, Fr'ed'eric Robert, F. Robert, 2007, 0705.3301.

Positivity for equations involving polyharmonic operators with Dirichlet boundary conditions

H. Grunau, G. Sweers, 1997 .

Regions of positivity for polyharmonic green functions in arbitrary domains

H. Grunau, G. Sweers, 2007 .

Boundedness of the negative part of biharmonic Green's functions under Dirichlet boundary conditions in general domains

F. Robert, H. Grunau, 2009 .

Symmetry of Solutions to Variational Problems for Nonlinear Elliptic Equations via Reflection Methods

H. Grunau, 2017 .

The Asymptotic Shape of a Boundary Layer of Symmetric Willmore Surfaces of Revolution

H. Grunau, 2012 .

On the existence of Hermitian-harmonic maps from complete Hermitian to complete Riemannian manifolds

H. Grunau, Marco Kühnel, 2003, math/0303137.

The Maximum Principle and Positive Principal Eigenfunctions for Polyharmonic Equations

H. Grunau, G. Sweers, 2020 .

Stability of the positivity of biharmonic Green's functions under perturbations of the domain

F. Robert, H. Grunau, 2012 .

The role of positive boundary data in generalized clamped plate equations

H. Grunau, G. Sweers, 1998 .

Boundedness for large |x| of suitable weak solutions of the Navier-Stokes equations with prescribed velocity at infinity

H. Grunau, 1993 .

Differences between fundamental solutions of general higher order elliptic operators and of products of second order operators

H. Grunau, G. Sweers, Giulio Romani, 2020, Mathematische Annalen.

The second bifurcation branch for radial solutions of the Brezis-Nirenberg problem in dimension four

F. Gazzola, H. Grunau, G. Arioli, 2008 .

Boundary Value Problems for the Willmore Functional

H. Grunau, 2015 .

Rotationally symmetric classical solutions to the Dirichlet problem for Willmore surfaces

K. Deckelnick, H. Grunau, A. Dall'Acqua, 2007 .

Hardy inequalities with optimal constants and remainder terms

Filippo Gazzola, Enzo Mitidieri, Hans-Christoph Grunau, 2003 .

Boggio’s formula for fractional polyharmonic Dirichlet problems

S. Dipierro, H. Grunau, 2016, 1606.03110.

Uniform estimates for polyharmonic Green functions in domains with small holes

F. Robert, H. Grunau, 2012, 1210.2248.

Non-Archimedean Analytic Spaces

H. Grunau, 2017 .

Preface Issue 1-2013

H. Grunau, 2013 .

Positivity of solutions to the Cauchy problem for linear and semilinear biharmonic heat equations

H. Grunau, S. Okabe, Nobuhito Miyake, 2020, Advances in Nonlinear Analysis.

Thurston : “ Three-dimensional manifolds , Kleinian groups and hyperbolic geometry

H. Grunau, 2017 .

A biharmonic analogue of the Alt-Caffarelli problem

H. Grunau, Marius Muller, 2023, 2303.17438.

In any dimension a “clamped plate” with a uniform weight may change sign

Guido Sweers, Hans-Christoph Grunau, H. Grunau, 2014 .

Classical solutions for some higher order semilinear elliptic equations under weak growth conditions

H. Grunau, G. Sweers, 1997 .

History of the Weinstein Conjecture

H. Grunau, 2017 .

The Paneitz equation in hyperbolic space

W. Reichel, H. Grunau, M. Ahmedou, 2008 .

Boundary value problems for a special Helfrich functional for surfaces of revolution: existence and asymptotic behaviour

K. Deckelnick, H. Grunau, Marco Doemeland, 2021, Calculus of Variations and Partial Differential Equations.

Boundary value problems for the Helfrich functional for surfaces of revolution

K. Deckelnick, H. Grunau, Marco Doemeland, 2020, 2003.10853.

Boundary Value Problems for the Helfrich Functional for Surfaces of Revolution – Existence and asymptotic behaviour –

K. Deckelnick, H. Grunau, Marco Doemeland, 2020 .

Existence for Willmore surfaces of revolution satisfying non-symmetric Dirichlet boundary conditions

Sascha Eichmann, H. Grunau, 2019, Advances in Calculus of Variations.

Symmetric Willmore surfaces of revolution satisfying arbitrary Dirichlet boundary data

H. Grunau, F. Schieweck, A. Dall'Acqua, 2010 .

Nonlinear Questions in Clamped Plate Models

Hans-Christoph Grunau, H. Grunau, 2009 .

A Navier boundary value problem for Willmore surfaces of revolution

K. Deckelnick, H. Grunau, 2009 .

Stability and Symmetry in the Navier Problem for the One-Dimensional Willmore Equation

Klaus Deckelnick, Hans-Christoph Grunau, K. Deckelnick, 2009, SIAM J. Math. Anal..

Classical solutions to the Dirichlet problem for Willmore surfaces of revolution

Klaus Deckelnick, Anna Dall'Acqua, Hans-Christoph Grunau, 2008 .

Boundary value problems for the one-dimensional Willmore equation

K. Deckelnick, H. Grunau, 2007 .

Boundary value problems for the one-dimensional Willmore equation – Almost explicit solutions

K. Deckelnick, H. Grunau, 2005 .

Some new properties of biharmonic heat kernels

F. Gazzola, H. Grunau, 2009 .

Decay and eventual local positivity for biharmonic parabolic equations

F. Gazzola, H. Grunau, A. Ferrero, 2008 .

Eventual local positivity for a biharmonic heat equation in R N

F. Gazzola, H. Grunau, 2007 .

Polyharmonic Boundary Value Problems: Positivity Preserving and Nonlinear Higher Order Elliptic Equations in Bounded Domains

Filippo Gazzola, Guido Sweers, Hans-Christoph Grunau, 2010 .

Optimal estimates from below for Green functions of higher order elliptic operators with variable leading coefficients

Hans-Christoph Grunau, H. Grunau, 2021, Archiv der Mathematik.

Differences between fundamental solutions of general higher order elliptic operators and of products of second order operators

H. Grunau, G. Sweers, Giulio Romani, 2019, Mathematische Annalen.

Optimal estimates from below for biharmonic Green functions

F. Robert, H. Grunau, G. Sweers, 2010, 1103.0651.

Positivity issues of biharmonic Green's functions under Dirichlet boundary conditions

Hans-Christoph Grunau, F. Robert, H. Grunau, 2007 .

Local regularity of weak solutions of semilinear parabolic systems with critical growth

E. Berchio, H. Grunau, 2006 .

Sign Change for the Green Function¶and for the First Eigenfunction¶of Equations of Clamped-Plate Type

H. Grunau, G. Sweers, 1999 .

Positivity properties of elliptic boundary value problems of higher order

Guido Sweers, Hans-Christoph Grunau, H. Grunau, 1997 .

Local regularity of weak solutions of semilinear parabolic systems with critical growth

E. Berchio, H. Grunau, 2006 .

A Semilinear Fourth Order Elliptic Problem with Exponential Nonlinearity

Gianni Arioli, Filippo Gazzola, Enzo Mitidieri, 2005, SIAM J. Math. Anal..

Regularity of weak solutions of semilinear parabolic systems of arbitrary order

W. Wahl, H. Grunau, 1994 .

Positivity, change of sign and buckling eigenvalues in a one-dimensional fourth order model problem

H. Grunau, 2002, Advances in Differential Equations.

Critical dimensions and higher order Sobolev inequalities with remainder terms

Filippo Gazzola, Hans-Christoph Grunau, F. Gazzola, 2001 .

ON THE ROLE OF SPACE DIMENSION n = 2 + 2 √ 2 IN THE SEMILINEAR BREZIS-NIRENBERG EIGENVALUE PROBLEM 1

F. Gazzola, H. Grunau, 2001 .

ON THE ROLE OF SPACE DIMENSION [xxx] IN THE SEMILINEAR BREZIS-NIRENBERG EIGENVALUE PROBLEM

F. Gazzola, H. Grunau, 2000 .

Radial entire solutions for supercritical biharmonic equations

Filippo Gazzola, Hans-Christoph Grunau, F. Gazzola, 2006 .

Entire solutions for a semilinear fourth order elliptic problem with exponential nonlinearity

Gianni Arioli, Filippo Gazzola, Hans-Christoph Grunau, 2006 .

Supercritical biharmonic equations with power-type nonlinearity

H. Grunau, A. Ferrero, Paschalis Karageorgis, 2007, 0711.2202.

Nonexistence of local minima of supersolutions for the circular clamped plate

H. Grunau, G. Sweers, 2001 .

Optimal Sobolev and Hardy–Rellich constants under Navier boundary conditions

F. Gazzola, H. Grunau, G. Sweers, 2010 .

Global solutions for superlinear parabolic equations involving the biharmonic operator for initial data with optimal slow decay

F. Gazzola, H. Grunau, 2007 .

Existence and nonexistence results for critical growth biharmonic elliptic equations

F. Gazzola, M. Squassina, H. Grunau, 2003 .

Critical Exponents and Multiple Critical Dimensions for Polyharmonic Operators

Francisco Bernis, H. Grunau, 1995 .

Positive solutions to semilinear polyharmonic Dirichlet problems involving critical Sobolev exponents

H. Grunau, 1995 .

Publisher's ERRATUM to: ∗∗ Local regularity of weak solutions of semilinear parabolic systems with critical growth ∗

E. Berchio, H. Grunau, 2007 .

Boggio’s formula for fractional polyharmonic Dirichlet problems

S. Dipierro, H. Grunau, 2016, Annali di Matematica Pura ed Applicata (1923 -).