Hans-Christoph Grunau

Applied Mathematics · 2001–2010

A researcher in the Science corpus: 12 papers; trusts 8 researchers and is trusted by 24 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 32 citations into it; #1,175 of 7,620 by trust here, #662 by citations
• Computational Theory and Mathematics — 15 citations into it; #1,794 of 12,182 by trust here, #1,437 by citations
• Mathematical Physics — 8 citations into it

Whom Hans-Christoph Grunau trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Filippo Gazzola
2. P. J. McKenna
3. Enzo Mitidieri
4. Z. Djadli
5. R. Schatzle
6. Victor A. Galaktionov
7. Juan Luis V'azquez
8. Wolfgang Reichel
9. Anna Dall’Acqua
10. Ernst Kuwert

Who trusts Hans-Christoph Grunau overall

1. Filippo Gazzola
2. L. D’Ambrosio
3. J. D'avila
4. A. Borichev
5. A. Tertikas
6. Yutian Lei
7. Carlos A. Escudero
8. Davide Buoso
9. H. Hedenmalm
10. Jun-cheng Wei

Papers from Hans-Christoph Grunau's perspective

Ordered by how strongly the researchers Hans-Christoph Grunau trusts endorse each paper. Same corpus, a different order for every researcher.

1. The Hardy Inequality and the Asymptotic Behaviour of the Heat Equation with an Inverse-Square Potential
2. Extremal Functions for Hardy's Inequality with Weight
3. An improved Hardy-Sobolev inequality and its application
4. A simple approach to Hardy inequalities
5. Radial solutions of singular nonlinear biharmonic equations and applications to conformal geometry.
6. Coercivity and Struwe's compactness for Paneitz type operators with constant coefficients
7. Estimates for Green function and Poisson kernels of higher-order Dirichlet boundary value problems
8. A Sobolev inequality with remainder term and critical equations on domains with topology for the polyharmonic operator
9. On a nonlinear fourth-order elliptic equation involving the critical Sobolev exponent
10. Existence of conformal metrics with constant Q-curvature

Their papers

• Radial entire solutions for supercritical biharmonic equations (2006) — 143 citations
• Hardy inequalities with optimal constants and remainder terms (2003) — 153 citations
• Critical dimensions and higher order Sobolev inequalities with remainder terms (2001) — 47 citations
• Existence and nonexistence results for critical growth biharmonic elliptic equations (2003) — 146 citations
• Polyharmonic Boundary Value Problems (2010) — 646 citations
• Positivity and Almost Positivity of Biharmonic Green’s Functions under Dirichlet Boundary Conditions (2007) — 56 citations
• Polyharmonic Boundary Value Problems: Positivity Preserving and Nonlinear Higher Order Elliptic Equations in Bounded Domains (2010) — 354 citations
• Symmetric Willmore surfaces of revolution satisfying arbitrary Dirichlet boundary data (2010) — 57 citations
• Classical solutions to the Dirichlet problem for Willmore surfaces of revolution (2008) — 80 citations
• Decay and eventual local positivity for biharmonic parabolic equations (2008) — 53 citations
• The Paneitz equation in hyperbolic space (2008) — 47 citations
• Eventual local positivity for a biharmonic heat equation in R N (2007) — 56 citations