# Regularity results for a class of non-autonomous obstacle problems with   $(p,q)$-growth

**Authors:** Cristiana De Filippis

arXiv: 1907.03392 · 2019-07-09

## TL;DR

This paper investigates regularity properties of solutions to non-autonomous obstacle problems involving $(p,q)$-growth conditions, providing a comprehensive analysis that encompasses key models in the existing literature.

## Contribution

It offers new regularity results for a broad class of non-autonomous obstacle problems with $(p,q)$-growth, extending previous models and assumptions.

## Key findings

- Established regularity results under suitable assumptions
- Unified analysis covering main models in literature
- Extended understanding of obstacle problems with variable growth conditions

## Abstract

We study some regularity issues for solutions of non-autonomous obstacle problems with $(p,q)$-growth. Under suitable assumptions, our analysis covers the main models available in the literature.

## Full text

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## References

48 references — full list in the complete paper: https://tomesphere.com/paper/1907.03392/full.md

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Source: https://tomesphere.com/paper/1907.03392