# Existence, positivity and boundedness of solutions for systems of   quasilinear elliptic equations

**Authors:** Abdelkrim Moussaoui, Jean V\'elin

arXiv: 1908.00930 · 2019-08-05

## TL;DR

This paper establishes conditions under which solutions to quasilinear elliptic systems involving p-Laplacian and q-Laplacian operators exist, are positive, and are bounded, using fixed point, comparison principles, and iteration methods.

## Contribution

It provides new theoretical results on the existence, positivity, and boundedness of solutions for complex quasilinear elliptic systems, combining multiple analytical techniques.

## Key findings

- Existence of solutions under specified conditions
- Positivity of solutions established
- Solutions are proven to be bounded

## Abstract

This article sets forth results on the existence, positivity and boundedness of solutions for quasilinear elliptic systems involving p-Laplacian and q-Laplacian operators. The approach combines Schaefer's fixed point, comparison principle as well as Moser's iteration procedure.

## Full text

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## References

40 references — full list in the complete paper: https://tomesphere.com/paper/1908.00930/full.md

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Source: https://tomesphere.com/paper/1908.00930