Unbounded Supersolutions of Nonlinear Equations with Nonstandard Growth

By Petteri Harjulehto, Juha Kinnunen, T. Lukkari. 2006

54 citations recorded by the source corpus.

We show that every weak supersolution of a variable exponent-Laplace equation is lower semicontinuous and that the singular set of such a function is of zero capacity if the exponent is logarithmically Hölder continuous. As a technical tool we derive Harnack-type estimates for possibly unbounded supersolutions.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/3cc230ec6b6cc207bdba1f603cf7d9b89d468baa

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. P. Hasto
2. Petteri Harjulehto
3. Matti Nuortio
4. Ut V. Le
5. Vicentiu D. Rădulescu
6. Dachun Yang
7. D. Cruz-Uribe
8. Jan Vyb'iral

In Geometry and Topology

1. Petteri Harjulehto
2. Matti Nuortio
3. Ut V. Le
4. P. Hasto

In Mathematical Physics

1. P. Hasto
2. Petteri Harjulehto
3. Matti Nuortio
4. Ut V. Le
5. Jan Vyb'iral
6. H. Kempka
7. Giuseppe Mingione
8. Kwok-Pun Ho

Citations in the corpus

• Overview of differential equations with non-standard growth (2010, methodology): “[124] Harjulehto, P.; Kuusi, T.; Lukkari, T; Marola, N.; Parviainen, M.: Harnack’s inequality for quasiminimizers with non-standard growth conditions.”