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

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

Preprint in arXiv:2312.11636, link

 

A Weierstrass extremal field theory for the fractional Laplacian, pdf

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

Advances in Calculus of Variations (2024), link

 

The Neumann problem for the fractional Laplacian: regularity up to the boundary, pdf

A. Audrito, J.C. Felipe-Navarro, and X. Ros-Oton

Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 24 (2023), 1155–1222, link

 

Uniqueness for linear integro-differential equations in the real line and applications, pdf.

J.C. Felipe-Navarro 

Calc. Var. 60, 220 (2021), link

 

Semilinear integro-differential equations II: one-dimensional and saddle-shaped solutions to the Allen-Cahn equation, pdf

J.C. Felipe-Navarro and T. Sanz-Perela

Mathematics in Engineering, 2021, 3(5): 1-36, link

 

Semilinear integro-differential equations I: odd solutions with respect to the Simons cone, pdf

J.C. Felipe-Navarro and T. Sanz-Perela

J. Funct. Anal. 278 (2020), link

 

Uniqueness and stability of the saddle-shaped solution to the fractional Allen-Cahn equation, pdf

J.C. Felipe-Navarro and T. Sanz-Perela

Rev. Mat. Iberoam. 36 (2020), 1887-1916, link

 

Other works

 

Qualitative properties of solutions to integro-differential elliptic problems

J.C. Felipe-Navarro

Ph.D. thesis, UPC (2021), link

 

A Liouville type result for fractional Schrödinger operators in 1D

J.C. Felipe-Navarro

Master thesis, UPC (2017), link

 

Periodic solutions to PDEs with fractional diffusion

J.C. Felipe-Navarro

Bachelor thesis, UPC (2016), link

 

You can also obtain my preprints from arXiv or check out my Google Scholar profile