Preprints

• I. U. Erneta. Fully nonlinear oblique transmission problems: well-posedness, arXiv 2606.14856

• I. U. Erneta. Regularity theory for fully nonlinear oblique transmission problems, arXiv 2606.14858

Articles

• X. Cabré, I. U. Erneta, J.C. Felipe-Navarro. Null-Lagrangians and calibrations for general nonlocal functionals and an application to the viscosity theory, pdf  J. Funct. Anal. 289 (2025), Paper No. 111086. https://doi.org/10.1016/j.jfa.2025.111086

• I. U. Erneta. Boundary Hölder continuity of stable solutions to semilinear elliptic problems in C^{1,1} domains, pdf J. Reine Angew. Math., 819 (2025), 231-264. https://doi.org/10.1515/crelle-2024-0084

• I. U. Erneta, M. Soria-Carro. Lipschitz regularity for Poisson equations involving measures supported on C^{1, Dini} interfaces, pdf Comm. Partial Differential Equations, 49 (2024), 805-831. https://doi.org/10.1080/03605302.2024.2399250

• X. Cabré, I. U. Erneta, J.C. Felipe-Navarro. A Weierstrass extremal field theory for the fractional Laplacian, pdf Adv. Calc. Var. 17 (2024), 1067-1093. https://doi.org/10.1016/j.jfa.2025.111086

• I. U. Erneta. Energy estimate up to the boundary for stable solutions to semilinear elliptic problems, pdf J. Differ. Equ. 378 (2024), 204-233. https://doi.org/10.1016/j.jde.2023.09.023

• I. U. Erneta. Stable solutions to semilinear elliptic equations for operators with variable coefficients, pdf Commun. Pure Appl. Anal. 22 (2023), 530-571. https://doi.org/10.3934/cpaa.2022162

• I. U. Erneta. Well-posedness for boundary value problems for coagulation-fragmentation equations, pdf Kinet. Relat. Models 13 (2020), 815-835. https://doi.org/10.3934/krm.2020028

 Thesis

• I. U. Erneta. Elliptic problems: regularity of stable solutions and a nonlocal Weierstrass extremal field theory, pdf PhD Thesis, UPC (2023).