Skip to content

Jie Yang, Haibo Chen, Existence results for mixed p-Laplacian and fractional p-Laplacian equations with Sobolev critical exponents

Full Text: PDF
DOI: 10.23952/jnva.10.2026.5.05

Volume 10, Issue 5, 1 October 2026, Pages 941-964

 

Abstract. By developing a method of Lieb’s compactness Theorem with refined ernergy estimation, we overcome the lack of translation invariance and establish existence of ground states. Our unified approach handles both subcritical and doubly critical cases under nonsymmetric perturbations.

 

How to Cite this Article:
J. Yang, H. Chen, Existence results for mixed p-Laplacian and fractional p-Laplacian equations with Sobolev critical exponents, J. Nonlinear Var. Anal. 10 (2026), 941-964.