G. Lu
Applied Mathematics · with Lam · 2000–2020
A researcher in the Science corpus: 36 papers; trusts 114 researchers and is trusted by 35 researchers here, as inferred from the citation graph.
Subfields
- Applied Mathematics — 364 citations into it; #340 of 7,620 by trust here, #124 by citations
- Computational Theory and Mathematics — 204 citations into it; #850 of 12,182 by trust here, #452 by citations
- Mathematical Physics — 149 citations into it; #1,291 of 8,562 by trust here, #455 by citations
- Geometry and Topology — 70 citations into it; #1,861 of 7,422 by trust here, #1,249 by citations
- Mechanics of Materials — 16 citations into it; #2,511 of 6,291 by trust here, #3,346 by citations
- Atomic and Molecular Physics, and Optics — 13 citations into it
- Numerical Analysis — 12 citations into it; #2,366 of 3,586 by trust here, #2,242 by citations
- Control and Systems Engineering — 6 citations into it
Whom G. Lu trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
- Nguyen Huong Lam
- W. Cohn
- Bernhard Ruf
- Adimurthi
- Y. Yang
- M. Crandall
- Loukas Grafakos
- Wenxiong CHEN *
- Yuxiang Li
- S. Chang
Who trusts G. Lu overall
- Nguyen Huong Lam
- Caifeng Zhang
- Y. Yang
- Wenxiong CHEN *
- Hanli Tang
- Valentino Magnani
- Changyou Wang
- Bernhard Ruf
- Guozhen Lu
- Federica Sani
Papers from G. Lu's perspective
Ordered by how strongly the researchers G. Lu trusts endorse each paper. Same corpus, a different order for every researcher.
- On the Caffarelli-Kohn-Nirenberg inequalities: Sharp constants, existence (and nonexistence), and symmetry of extremal functions †
- Best constants for Moser-Trudinger inequalities on the Heisenberg group
- Adams' inequalities for bi-Laplacian and extremal functions in dimension four
- The inequality of Moser and Trudinger and applications to conformal geometry
- A MASS-TRANSPORTATION APPROACH TO SHARP SOBOLEV AND GAGLIARDO-NIRENBERG INEQUALITIES
- Fundamental solution for the Q-Laplacian and sharp Moser–Trudinger inequality in Carnot groups
- User’s guide to viscosity solutions of second order partial differential equations
- A sharp Trudinger-Moser type inequality for unbounded domains in R 2
- Homoclinic Orbits for Asymptotically Linear Hamiltonian Systems
- Classification of solutions for an integral equation
Their papers
- Adams' inequalities for bi-Laplacian and extremal functions in dimension four (2009) — 100 citations
- Convex functions on the Heisenberg group (2003) — 110 citations
- Best constants for Moser-Trudinger inequalities on the Heisenberg group (2001) — 174 citations
- Inhomogeneous infinity Laplace equation (2008) — 111 citations
- A new approach to sharp Moser–Trudinger and Adams type inequalities: A rearrangement-free argument (2013) — 200 citations
- EXISTENCE OF NONTRIVIAL SOLUTIONS TO POLYHARMONIC EQUATIONS WITH SUBCRITICAL AND CRITICAL EXPONENTIAL GROWTH (2012) — 49 citations
- Sharp Moser-Trudinger inequality on the Heisenberg group at the critical case and applications ✩ (2012) — 159 citations
- Elliptic Equations and Systems with Subcritical and Critical Exponential Growth Without the Ambrosetti–Rabinowitz Condition (2014) — 132 citations
- Sharp singular Adams inequalities in high order Sobolev spaces (2011) — 51 citations
- Sharp Singular Trudinger–Moser Inequalities in Lorentz–Sobolev Spaces (2016) — 46 citations
- Sharp Adams type inequalities in Sobolev spaces Wm,nm(Rn) for arbitrary integer m (2012) — 65 citations
- Existence and multiplicity of solutions to equations of $N-$Laplacian type with critical exponential growth in $\mathbb{R}^{N}$ (2011) — 161 citations
- Sharp constant and extremal function for the improvedMoser-Trudinger inequality involving $L^p$ norm in two dimension (2009) — 88 citations
- Sharp subcritical Moser-Trudinger inequalities on Heisenberg groups and subelliptic PDEs (2014) — 71 citations
- An overdetermined problem in Riesz-potential and fractional Laplacian (2011) — 69 citations
- N-Laplacian Equations in ℝN with Subcritical and Critical GrowthWithout the Ambrosetti-Rabinowitz Condition (2013) — 69 citations
- Geometric Hardy's inequalities with general distance functions (2020) — 54 citations
- Existence and nonexistence of extremal functions for sharp Trudinger-Moser inequalities (2019) — 50 citations
- Factorizations and Hardy’s type identities and inequalities on upper half spaces (2019) — 48 citations
- Liouville Type Theorems for PDE and IE Systems Involving Fractional Laplacian on a Half Space (2017) — 56 citations