Elliptic Singular Fourth Order Equations

TL;DR

This paper proves the existence of weak non-trivial solutions for a class of fourth order elliptic equations with singularities and critical Sobolev growth using a specialized method.

Contribution

It introduces a novel application of existing methods to establish solutions for complex elliptic equations with singularities and critical growth.

Findings

Existence of solutions demonstrated

Method adapted for singular and critical growth conditions

Provides a framework for future research in similar equations

Abstract

Using a method developped in [1] and [2], we prove the existence of weak non trivial solutions to fourth order elliptic equations with singularities and with critical Sobolev growth.