Riesz potential estimates for a general class of quasilinear equations
By Paolo Baroni. 2015
138 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/653fdca879f7733e8569596bdc1f329238ccaf57
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In Applied Mathematics
- Giuseppe Mingione
- Cristiana De Filippis
- Iwona Chlebicka
- Vicentiu D. Rădulescu
- P. Hasto
- Patrick Winkert
- Jihoon Ok
- Paolo Baroni
In Computational Theory and Mathematics
- Giuseppe Mingione
- Cristiana De Filippis
- Iwona Chlebicka
- P. Hasto
- Patrick Winkert
- Vicentiu D. Rădulescu
- Jihoon Ok
- Paolo Baroni
In Mathematical Physics
- Giuseppe Mingione
- Cristiana De Filippis
- Vicentiu D. Rădulescu
- Iwona Chlebicka
- P. Hasto
- Patrick Winkert
- Jihoon Ok
- Paolo Baroni
Citations in the corpus
- A pocket guide to nonlinear differential equations in Musielak–Orlicz spaces (2018, background): “They are indeed far from optimal, but for some purposes very handy since capturing all kinds of growth, see [19, 46].”
- Quasilinear elliptic problems with general growth and merely integrable, or measure, data (2017, methodology): “HM3] requires some regularity assumption on the Ω. Remark 3.5 As mentioned is Section 1, pointwise gradient estimates for solutions to a class of equations with Orlicz type growth were established in [Ba] in terms of a Riesz potential type operator applied to an integrable, or even just measure-valu”
- Regularity for general functionals with double phase (2017, methodology): “36) are satisfied by the integrand F̄0(·), so we are able to apply the results from [39] (see also [4]) to deduce the following a priori gradient bound: (7.”
- Second-Order Two-Sided Estimates in Nonlinear Elliptic Problems (2017, background): “1), thanks to a local gradient estimate from [5], extending [31].”
- Lipschitz Bounds and Nonautonomous Integrals (2020, background): “In fact, when considering more general equations, they are independent of the vector field the divergence operator applies to; for this, see [46], and [1] for conditions (1.”
- Recent developments in problems with nonstandard growth and nonuniform ellipticity (2021, background): “Amongst the recent, more relevant contributions, we quote [15,20,63,64].”
- Maximal regularity for local minimizers of non-autonomous functionals (2019, methodology): “In particular, we refer to [7] for the case p > 2.”