Peer-reviewed papers

13) Global Hölder solvability of linear and quasilinear Poisson equations

https://arxiv.org/abs/2311.09701  (A revised version of the paper will be published in Communications in Partial Differential Equations, DOI - 10.1080/03605302.2026.2756382 )

12) Global Hölder solvability of second order elliptic equations with locally integrable lower-order coefficients 

https://doi.org/10.1090/proc/17331

11) Strong barriers for weighted quasilinear equations

https://doi.org/10.54330/afm.147579  

10) A stability result for elliptic equations with singular nonlinearity and its applications to homogenization problems

https://doi.org/10.1016/j.jmaa.2023.127509 

9) Trace inequalities of the Sobolev type and nonlinear Dirichlet problems

https://doi.org/10.1007/s00526-022-02339-9 (https://rdcu.be/cZvxb)

http://hdl.handle.net/2115/90525 

8) Quasilinear elliptic equations with sub-natural growth terms in bounded domains

https://doi.org/10.1007/s00030-021-00724-5 (https://rdcu.be/cZvxu)

http://hdl.handle.net/2115/87051 

7) Existence of minimal solutions to quasilinear elliptic equations with several sub-natural growth terms

https://doi.org/10.1016/j.na.2020.111847

6) Global integrability of supertemperatures

https://doi.org/10.1007/s00209-020-02467-y (https://rdcu.be/cZvxz)

5) Wolff potential estimates for Cheeger p-harmonic functions

https://doi.org/10.1007/s13348-018-0213-2 '(https://rdcu.be/cZvxR)

4) Liouville theorems for supersolutions of semilinear elliptic equations with drift terms in exterior domains

https://doi.org/10.1016/j.jmaa.2016.10.053

3) The Wolff potential estimate for solutions to elliptic equations with signed data

https://doi.org/10.1007/s00229-015-0805-z (https://rdcu.be/cZvx3)

2) Weak-type estimates and potential estimates for elliptic equations with drift terms

https://doi.org/10.1007/s11118-015-9505-2 (https://rdcu.be/cZvxY)

1) A refined subsolution estimate of weak subsolutions to second order linear elliptic equations with a singular vector field

https://doi.org/10.3836/tjm/1428412565

Preprints

5) Boundary Harnack principle for abstract supersolutions on uniform domains

https://arxiv.org/abs/2611.01586

4) Global Hölder solvability for parabolic equations with interior Morrey data

https://arxiv.org/abs/2610.37528

3) Weighted and nonlocal Poisson equations on domains with capacity density conditions

https://arxiv.org/abs/2610.32070

2) Global Hölder solvability of parabolic equations on domains with capacity density conditions

https://arxiv.org/abs/2601.02863

1) Uniformly Elliptic Equations on Domains with Capacity Density Conditions

https://arxiv.org/abs/2410.18327v1