## Abstract

We are concerned with existence, localization and multiplicity of positive radial solutions to Dirichlet problems with φ-Laplacians in a ball, in both scalar and system cases. Our approach essentially relies on fixed point index computations and a main feature is that it avoids any Harnack type inequality. Applications to some problems involving operators with Uhlenbeck structure are discussed.

## Authors

**Petru Jebelean
**Institute for Advanced Environmental Research, West University of Timişoara, Timişoara, Romania

Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania

Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy

## Keywords

*p*-Laplacian

## Paper coordinates

P. Jebelean, R. Precup, J. Rodríguez-López, *Positive radial solutions for Dirichlet problems in the ball, *Nonlinear Analysis, 240 (2024), art. id. 113470, https://doi.org/10.1016/j.na.2023.113470

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