# Resonant biharmonic problems with asymmetric-superlinear nonlinearities

## TL;DR

This paper investigates the existence of solutions for a class of symmetric biharmonic elliptic problems with asymmetric superlinear nonlinearities, using topological degree theory to handle the resonance at different infinities.

## Contribution

It introduces new existence results for biharmonic problems with asymmetric superlinear nonlinearities at resonance, applying topological degree methods.

## Key findings

- Existence of solutions established for the problem.
- Solutions exist under certain resonance conditions.
- Topological degree theory effectively handles asymmetric superlinearities.

## Abstract

The aim of this work is to present results about existence of solutions for a class of biharmonic elliptic problems with homogeneous Navier conditions. The problem is symmetric and has linear behavior on -\infty and superlinear on +\infty. To obtain these results we apply topological degree theory.