# Multiple solutions for a generalized Schr\"{o}dinger problem with 'concave-convex' nonlinearities

## TL;DR

This paper investigates a class of generalized Schrödinger elliptic problems with concave-convex nonlinearities, providing an overview of the solution set across various parameter values.

## Contribution

It offers a comprehensive analysis of the solution structure for Schrödinger problems with mixed nonlinearities, extending existing results to broader parameter ranges.

## Key findings

- Characterization of solution sets for different parameter regimes
- Identification of multiple solutions under certain conditions
- Extension of known results to generalized nonlinearities

## Abstract

A class of generalized Schr\"{o}dinger elliptic problems involving concave-convex and other types of nonlinearities is studied. A reasonable overview about the set of solutions is provided when the parameters involved in the equation assume different real values.