Wangjiaxiang

Complex geometry, complex Monge-Ampere equation, related fully nonlinear equations, and pluripotential theory

[10] J. Wang and W. Wang, Singular solutions to the complex Monge-Amp\`ere equation, Math. Ann. {\bf 392} (2025), no.~2, 1503--1518; MR4906301

[9] J. Wang and B. Zhou, Sobolev inequalities and regularity of the linearized complex Monge-Amp\`ere and Hessian equations, Trans. Amer. Math. Soc. {\bf 378} (2025), no.~1, 447--475; MR4840311

[8] J. Wang and B. Zhou, Trace inequalities, isocapacitary inequalities, and regularity of the complex Hessian equations, Sci. China Math. {\bf 67} (2024), no.~3, 557--576; MR4731277

[7] L.~D. Huang, G. Tian and J. Wang, A $C^{2,\alpha,\beta}$ estimate for complex Monge-Amp\`ere type equations with conic sigularities, Adv. Nonlinear Stud. {\bf 24} (2024), no.~1, 3--14; MR4727576

[6] J. Wang and B. Zhou, Regularity for a class of singular complex Hessian equations, Acta Math. Sin. (Engl. Ser.) {\bf 37} (2021), no.~11, 1709--1720; MR4344562

[5] J. Wang and B. Zhou, Monotonicity formulae for the complex Hessian equations, Methods Appl. Anal. {\bf 28} (2021), no.~1, 77--83; MR4322879

[4] J. Wang, X.~J. Wang and B. Zhou, A priori estimate for the complex Monge-Amp\`ere equation, Peking Math. J. {\bf 4} (2021), no.~1, 143--157; MR4249053

[3] W. Sheng and J. Wang, Regularity of weak solutions to a class of complex Hessian equations on K\ahler manifolds, J. Math. Study {\bf 54} (2021), no.~2, 171--185; MR4210290

[2] J. Wang, X.~J. Wang and B. Zhou, Moser-Trudinger inequality for the complex Monge-Amp\`ere equation, J. Funct. Anal. {\bf 279} (2020), no.~12, 108765, 20 pp.; MR4155289

[1] W. Sheng and J. Wang, On a complex Hessian flow, Pacific J. Math. {\bf 300} (2019), no.~1, 159--177; MR3985683