Zobrazeno 1 - 10
of 79
pro vyhledávání: '"Nguyen Cong Phuc"'
Autor:
Nguyen Cong Phuc, Igor E. Verbitsky
Publikováno v:
Mathematics in Engineering, Vol 5, Iss 3, Pp 1-33 (2023)
We prove the uniqueness property for a class of entire solutions to the equation $ \begin{equation*} \left\{ \begin{array}{ll} -{\rm div}\, \mathcal{A}(x,\nabla u) = \sigma, \quad u\geq 0 \quad {\text{in }} \mathbb{R}^n, \\ {\liminf\limits_{|x|\r
Externí odkaz:
https://doaj.org/article/0c95eb586adb4177b446869e910c7c29
Autor:
Quoc-Hung Nguyen, Nguyen Cong Phuc
Publikováno v:
Mathematics in Engineering, Vol 5, Iss 3, Pp 1-24 (2023)
We extend the so-called universal potential estimates of Kuusi-Mingione type (J. Funct. Anal. 262: 4205–4269, 2012) to the singular case $ 1 < p\leq 2-1/n $ for the quasilinear equation with measure data $ \begin{equation*} -\operatorname{div}(A
Externí odkaz:
https://doaj.org/article/a8e810c8e6b3455d987d161aebade9a0
Publikováno v:
Journal of Function Spaces, Vol 2016 (2016)
Externí odkaz:
https://doaj.org/article/e3bbd8235a78451289549ad3c01fd570
Autor:
Nguyen Cong Phuc, Igor E. Verbitsky
Publikováno v:
Annales de l'Institut Fourier. 72:1911-1939
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::51c5c04f368551b4edc63b18234fa5bd
https://doi.org/10.5802/aif.3485
https://doi.org/10.5802/aif.3485
Autor:
Nguyen Cong Phuc, Keng Hao Ooi
Publikováno v:
Mathematische Annalen. 382:1865-1879
We obtain bounds in full range of exponents for the Hardy-Littlewood maximal function on spaces defined via Choquet integrals associated to Bessel or Riesz capacities. We then deduce Sobolev type embeddings in these spaces as a consequence.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8073c9441acef34766ed69ad8bede4d8
https://doi.org/10.1007/s00208-021-02227-1
https://doi.org/10.1007/s00208-021-02227-1
Autor:
Quoc-Hung Nguyen, Nguyen Cong Phuc
Publikováno v:
Mathematics in Engineering; 2023, Vol. 5 Issue 3, p1-24, 24p
Autor:
Nguyen Cong Phuc, Quoc-Hung Nguyen
Publikováno v:
Advanced Nonlinear Studies. 20:373-384
We characterize the existence of solutions to the quasilinear Riccati-type equation { - div 𝒜 ( x , ∇ u ) = | ∇ u | q + σ in Ω , u = 0 on ∂ Ω , \left\{\begin{aligned} \displaystyle-\operatorname{div}\mathcal{A}
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::189eb8304386272ca1d911b80f444af4
https://doi.org/10.1515/ans-2020-2079
https://doi.org/10.1515/ans-2020-2079
Autor:
Quoc-Hung Nguyen, Nguyen Cong Phuc
Comparison estimates are an important technical device in the study of regularity problems for quasilinear possibly degenerate elliptic and parabolic equations. Such tools have been employed indispensably in many papers of Mingione, Duzaar-Mingione,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5730d9784dcd4cb6b58891f8641382a9
Autor:
Keng Hao Ooi, Nguyen Cong Phuc
We establish a Maz'ya type capacitary inequality which resolves a special case of a conjecture by David R. Adams. As a consequence, we obtain several equivalent norms for Choquet integrals associated to Bessel or Riesz capacities. This enables us to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::54c8e37467136d23a8fced9f83ead24f
http://arxiv.org/abs/2009.09291
http://arxiv.org/abs/2009.09291
Autor:
Keng Hao Ooi, Nguyen Cong Phuc
We characterize preduals and K\"othe duals to a class of Sobolev multiplier type spaces. Our results fit in well with the modern theory of function spaces of harmonic analysis and are also applicable to nonlinear partial differential equations. We ma
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9ff6ba7137f1b0273b60b1c77c70a766
http://arxiv.org/abs/2005.04349
http://arxiv.org/abs/2005.04349