Existence of solutions for nonlinear elliptic singular inclusion problems

Puntos clave

• Weak solutions exist for nonlinear elliptic inclusion problems with singular terms, demonstrating a key result in the analysis.
• Analysis reveals that despite singularities, solutions can be obtained through approximation methods and compactness arguments.
• An appropriate weak formulation framework is utilized to address difficulties arising from nonlinearities and singular terms.
• This work highlights the robustness of broad assumptions on data and nonlinearity in establishing solution existence.