Alexander Quaas

Applied Mathematics · 2003–2022

A researcher in the Science corpus: 18 papers; trusts 39 researchers and is trusted by 20 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 90 citations into it; #1,121 of 7,620 by trust here, #476 by citations
• Computational Theory and Mathematics — 71 citations into it; #1,675 of 12,182 by trust here, #963 by citations
• Mathematical Physics — 38 citations into it; #3,138 of 8,562 by trust here, #1,097 by citations
• Control and Systems Engineering — 14 citations into it
• Modeling and Simulation — 12 citations into it
• Geometry and Topology — 5 citations into it; #6,993 of 7,422 by trust here, #6,132 by citations

Whom Alexander Quaas trusts overall

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

1. Luis Silvestre
2. Patricio Felmer
3. Luis Caffarelli
4. Li Ma
5. M. Crandall
6. D. Labutin
7. Xavier Ros-Oton
8. Wenxiong CHEN *
9. Guy Barles
10. Dezhong Chen

Who trusts Alexander Quaas overall

1. Boyan Sirakov
2. S. Armstrong
3. Francesca Da Lio
4. Serena Dipierro
5. Simone Secchi
6. Patricio Felmer
7. Isabeau Birindelli
8. G. Autuori
9. Wei Dai
10. C. Imbert

Papers from Alexander Quaas's perspective

Ordered by how strongly the researchers Alexander Quaas trusts endorse each paper. Same corpus, a different order for every researcher.

1. Regularity of the obstacle problem for a fractional power of the laplace operator
2. Financial Modelling with Jump Processes
3. Classification of solutions for an integral equation
4. Second-order elliptic integro-differential equations: viscosity solutions' theory revisited
5. User’s guide to viscosity solutions of second order partial differential equations
6. Regularity Results for Nonlocal Equations by Approximation
7. Aleksandrov–Bakelman–Pucci Type Estimates for Integro-Differential Equations
8. Holder estimates for solutions of integra-differential equations like the fractional laplace
9. Hitchhiker's guide to the fractional Sobolev spaces
10. On the Equivalence of Viscosity Solutions and Weak Solutions for a Quasi-Linear Equation (SIAM Journal on Mathematical Analysis)

Their papers

• Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian (2012) — 777 citations
• Liouville type theorems for nonlinear elliptic equations and systems involving fractional Laplacian in the half space (2015) — 84 citations
• Principal eigenvalues and the Dirichlet problem for fully nonlinear elliptic operators (2008) — 129 citations
• Positive radial solutions to a ‘semilinear’ equation involving the Pucci's operator (2004) — 66 citations
• Nonlinear eigenvalues and bifurcation problems for Pucci's operators (2004) — 107 citations
• Alexandroff–Bakelman–Pucci estimate for singular or degenerate fully nonlinear elliptic equations (2009) — 56 citations
• Large solutions to elliptic equations involving fractional Laplacian (2013) — 86 citations
• Fundamental solutions and liouville type theorems for nonlinear integral operators (2011) — 94 citations
• On critical exponents for the Pucci's extremal operators (2003) — 69 citations
• Existence Results for Nonproper Elliptic Equations Involving the Pucci Operator (2006) — 83 citations
• Trophoblast Cell Surface Antigen 2 (TROP2) as a Predictive Bio-Marker for the Therapeutic Efficacy of Sacituzumab Govitecan in Adenocarcinoma of the Esophagus (2022)
• Trophoblast Cell Surface Antigen 2 (Trop-2) Protein is Highly Expressed in Salivary Gland Carcinomas and Represents a Potential Therapeutic Target (2021)
• LAG-3, TIM-3 and VISTA Expression on Tumor-Infiltrating Lymphocytes in Oropharyngeal Squamous Cell Carcinoma—Potential Biomarkers for Targeted Therapy Concepts (2020)
• PD-L1 Expression and a High Tumor Infiltrate of CD8+ Lymphocytes Predict Outcome in Patients with Oropharyngeal Squamous Cells Carcinoma (2020)
• A Hopf's lemma and a strong minimum principle for the fractional p-Laplacian (2016) — 153 citations
• Keller–Osserman type conditions for some elliptic problems with gradient terms (2012) — 65 citations
• Matrix Stiffness Modulates Proliferation, Chemotherapeutic Response and Dormancy in Hepatocellular Carcinoma Cells (2011) — 679 citations
• Harnack inequality for singular fully nonlinear operators and some existence results (2010) — 63 citations