Vladimir G. Maz'ya

Applied Mathematics · 2000–2018

A researcher in the Science corpus: 23 papers; trusts 19 researchers and is trusted by 45 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 98 citations into it; #404 of 7,620 by trust here, #167 by citations
• Computational Theory and Mathematics — 70 citations into it; #790 of 12,182 by trust here, #430 by citations
• Mathematical Physics — 50 citations into it; #2,105 of 8,562 by trust here, #2,387 by citations
• Numerical Analysis — 10 citations into it; #1,229 of 3,586 by trust here, #209 by citations
• Computational Mechanics — 9 citations into it; #7,765 of 10,001 by trust here, #3,559 by citations
• Control and Systems Engineering — 7 citations into it

Whom Vladimir G. Maz'ya trusts overall

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

1. Giuseppe Mingione
2. Frank Duzaar
3. Andrea Cianchi
4. Paolo Baroni
5. Vladimir A. Kozlov
6. Jean Bourgain
7. Tuomo Kuusi
8. Juan Luis V'azquez
9. E. Davies
10. Haim Brezis

Who trusts Vladimir G. Maz'ya overall

1. Andrea Cianchi
2. V. Gol’dshtein
3. Giuseppe Mingione
4. Rupert L. Frank
5. Monika Ludwig
6. Cristiana De Filippis
7. A. Mazzucato
8. M. L. Cristoforis
9. Constantin Bacuta
10. Tuomo Kuusi

Papers from Vladimir G. Maz'ya's perspective

Ordered by how strongly the researchers Vladimir G. Maz'ya trusts endorse each paper. Same corpus, a different order for every researcher.

1. Bounds for the singular set of solutions to non linear elliptic systems
2. Local Lipschitz regularity for degenerate elliptic systems
3. The Singular Set of Solutions to Non-Differentiable Elliptic Systems
4. FUNCTIONS OF BOUNDED MEAN OSCILLATION
5. Global regularity for almost minimizers of nonconvex variational problems
6. Gradient estimates via non-linear potentials
7. Direct methods in the calculus of variations
8. Riesz potential estimates for a general class of quasilinear equations
9. Regularity, monotonicity and symmetry of positive solutions of m-Laplace equations
10. Minimal rearrangements of Sobolev functions: a new proof

Their papers

• Global Boundedness of the Gradient for a Class of Nonlinear Elliptic Systems (2012) — 154 citations
• On the Bourgain, Brezis, and Mironescu Theorem Concerning Limiting Embeddings of Fractional Sobolev Spaces (2003) — 408 citations
• Pathological solutions to elliptic problems in divergence form with continuous coefficients (2009) — 97 citations
• Global Lipschitz Regularity for a Class of Quasilinear Elliptic Equations (2010) — 175 citations
• Global gradient estimates in elliptic problems under minimal data and domain regularity (2014) — 50 citations
• Spectral Problems Associated with Corner Singularities of Solutions to Elliptic Equations (2000) — 510 citations
• Second-Order Two-Sided Estimates in Nonlinear Elliptic Problems (2017) — 110 citations
• The dirichlet problem in lipschitz domains for higher order elliptic systems with rough coefficients (2007) — 91 citations
• Sharp Hardy–Sobolev inequalities (2004) — 50 citations
• Conductor and capacitary inequalities for functions on topological spaces and their applications to Sobolev-type imbeddings (2005) — 65 citations
• Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains: Volume I (2000) — 616 citations
• Optimal second-order regularity for the p-Laplace system (2018) — 63 citations
• Quasilinear elliptic problems with general growth and merely integrable, or measure, data (2017) — 61 citations
• Gradient regularity via rearrangements for $p$-Laplacian type elliptic boundary value problems (2014) — 92 citations
• Maximum Principles and Sharp Constants for Solutions of Elliptic and Parabolic Systems (2012) — 76 citations
• Sobolev Spaces: with Applications to Elliptic Partial Differential Equations (2011) — 944 citations
• Mixed Boundary Value Problems for the Stationary Navier–Stokes System in Polyhedral Domains (2009) — 48 citations
• Asymptotic treatment of perforated domains without homogenization (2009) — 62 citations
• Criterion for the Lp-dissipativity of second order differential operators with complex coefficients (2004) — 65 citations
• Form boundedness of the general second‐order differential Operator (2004) — 66 citations