Articles

• Null-Lagrangians and calibrations for general nonlocal functionals and an application to the viscosity theory, pdf

X. Cabré, I. U. Erneta, J.C. Felipe-Navarro 

J. Funct. Anal. 289 (2025), Paper No. 111086.

• Boundary Hölder continuity of stable solutions to semilinear elliptic problems in C^{1,1} domains, pdf

I. U. Erneta

J. Reine Angew. Math., 819 (2025), 231-264.

• Lipschitz regularity for Poisson equations involving measures supported on C^{1, Dini} interfaces, pdf

I. U. Erneta, M. Soria-Carro 

Comm. Partial Differential Equations, 49 (2024), 805-831.

• A Weierstrass extremal field theory for the fractional Laplacian, pdf

X. Cabré, I. U. Erneta, J.C. Felipe-Navarro 

Adv. Calc. Var. 17 (2024), 1067-1093.

• Energy estimate up to the boundary for stable solutions to semilinear elliptic problems, pdf

I. U. Erneta

J. Differ. Equ.  378 (2024), 204-233.

• Stable solutions to semilinear elliptic equations for operators with variable coefficients, pdf

I. U. Erneta

Commun. Pure Appl. Anal. 22 (2023), 530-571. 

• Well-posedness for boundary value problems for coagulation-fragmentation equations, pdf

I. U. Erneta

Kinet. Relat. Models 13 (2020), 815-835.