On nonlinear elliptic problems with Hardy-Littlewood-Sobolev critical exponent and Sobolev-Hardy critical exponent

Key Points

• Existence of solutions is established for nonlinear elliptic problems involving critical growth.
• The study highlights the role of variational methods in addressing combined convolution-type and Hardy nonlinearity.
• The application of critical exponent theories, including Hardy-Littlewood-Sobolev, is essential in this analysis.
• This research may enable advancements in understanding complex mathematical behaviors in elliptic equations.