Stanislav N. Antontsev

Applied Mathematics · 2001–2015

A researcher in the Science corpus: 14 papers; trusts 28 researchers and is trusted by 30 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 59 citations into it; #707 of 7,620 by trust here, #486 by citations
• Computational Theory and Mathematics — 59 citations into it; #966 of 12,182 by trust here, #836 by citations
• Mathematical Physics — 30 citations into it; #1,889 of 8,562 by trust here, #851 by citations
• Control and Systems Engineering — 23 citations into it; #1,947 of 8,257 by trust here, #4,045 by citations
• Civil and Structural Engineering — 11 citations into it
• Mechanics of Materials — 11 citations into it
• Biomedical Engineering — 8 citations into it
• Computational Mechanics — 5 citations into it

Whom Stanislav N. Antontsev trusts overall

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

1. Lars Diening
2. M. Růžička
3. S. Shmarev
4. V. Zhikov
5. Zhijian Yang
6. E. Acerbi
7. Mostafa Bendahmane
8. Xianling Fan
9. Giuseppe Mingione
10. S. Samko

Who trusts Stanislav N. Antontsev overall

1. Verena Bogelein
2. Paolo Baroni
3. Salim A. Messaoudi
4. Guowei Dai
5. S. Shmarev
6. Giuseppe Mingione
7. Ala A. Talahmeh
8. V. Zhikov
9. Petteri Harjulehto
10. Lars Diening

Papers from Stanislav N. Antontsev's perspective

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

1. Variable Exponent, Linear Growth Functionals in Image Restoration (SIAM Journal on Applied Mathematics)
2. On a progress in the theory of lebesgue spaces with variable exponent: maximal and singular operators
3. Lebesgue and Sobolev Spaces with Variable Exponents
4. Anisotropic parabolic equations with variable nonlinearity
5. Compact Sets in the Space L~(O,
6. Regularity of minima: An invitation to the dark side of the calculus of variations
7. Existence of solutions for p(x) -Laplacian dirichlet problem
8. Elliptic equations and systems with nonstandard growth conditions: Existence, uniqueness and localization properties of solutions
9. Electrorheological Fluids : Modeling and Mathematical Theory (Mathematical Analysis in Fluid and Gas Dynamics)
10. The Cauchy problem for a strongly degenerate quasilinear equation

Their papers

• A model porous medium equation with variable exponent of nonlinearity: existence, uniqueness and localization properties of solutions (2005) — 335 citations
• Higher integrability for parabolic equations of $p(x,t)$-Laplacian type (2005) — 123 citations
• Anisotropic parabolic equations with variable nonlinearity (2009) — 209 citations
• Elliptic equations and systems with nonstandard growth conditions: Existence, uniqueness and localization properties of solutions (2006) — 129 citations
• On stationary thermo-rheological viscous flows (2006) — 429 citations
• Anisotropic equations: Uniqueness and existence results (2008) — 72 citations
• Chapter 1 Elliptic equations with anisotropic nonlinearity and nonstandard growth conditions (2006) — 87 citations
• Evolution PDEs with Nonstandard Growth Conditions: Existence, Uniqueness, Localization, Blow-up (2015) — 124 citations
• Evolution PDEs with Nonstandard Growth Conditions (2015) — 216 citations
• Wave equation with -Laplacian and damping term: Blow-up of solutions (2011) — 65 citations
• Wave Equation with p(x,t) - Laplacian and Damping Term: Existence and Blow-up (2011) — 114 citations
• Vanishing solutions of anisotropic parabolic equations with variable nonlinearity (2010) — 77 citations
• Energy Methods for Free Boundary Problems (2002) — 219 citations
• Energy Methods for Free Boundary Problems: Applications to Nonlinear PDEs and Fluid Mechanics (2001) — 290 citations