Preprints
Ochoa P. and Salort A. ''The Hénon equation in Orlicz-Sobolev spaces''.
Lorenzo R., Ochoa P. and Silva A. ''Bourgain-Brezis-Mironescu formula for magnetic fractional Sobolev spaces with variable exponent''.
Ochoa P., ''Elliptic systems in Orlicz-Sobolev spaces with critical sources in bounded domains''.
Fernández Bonder J., Ochoa P. and Silva A. 'Calderón-Zygmund estimates for higher order elliptic equations in Orlicz-Sobolev spaces'.
Ochoa P. and Silva A., ''Nonlinear eigenvalue problems for a biharmonic operator in Orlicz-Sobolev spaces''.
Ochoa P. and Silva A, ''An existence result for a Schrodinger-Kirchhoff critical problem in p-magnetic fractional Sobolev spaces''.
Accepted articles
Published articles
Ochoa P., Silva A., and Valverde F. (2025), ''Existence of weak solutions for the anisotropic p(x)-Laplacian via Degree Theory''. Communications in Analysis and Geometry 33 4: 791-814 .
Ochoa P. and Salort A. (2026), ''Hopf's lemma and boundary behaviour of solutions to the fractional laplacian in Orlicz-Sobolev spaces''. Nonlinear Analysis 262 113923.
Ochoa P. and Salort A. (2025), ''Hopf's lemmas and boundary point results for the fractional p-Laplacian'. Discrete and Continuous Dynamical Systems 45 3: 717-734.
Ochoa P. and Valverde F. (2024), ''Equivalence and regularity of weak and viscosity solutions for the anisotropic p(x)-Laplacian''. Nonlinear Differential Equations and Applications 31 88.
de Borbón L. and Ochoa P. (2024), ''Uniformly elliptic equations with concave growth in the gradient and measures''. Fixed Point Theory Journal 25 1: 43-60.
del Teso F., Medina M. and Ochoa P. (2023), ''Higher-order asymptotic expansions and finite difference schemes for the fractional p-Laplacian''. Mathematische Annalen 390 1: 157-203.
Ochoa P., Silva A. and Suárez M. (2024), ''Existence and multiplicity of solutions to a fractional problem in Orlicz-Sobolev spaces''. Annali di Matematica Pura ed Applicata 203 1: 21-47.
Garriga M. and Ochoa P. (2023), ‘’Area formulas in metric measure spaces under a weak-Lipschitz type condition’’. Results in Mathematics 78 38.
Ochoa P. (2023), ''Existence and multiplicity of solutions to magnetic Kirchhoff equations in Orlicz-Sobolev spaces''. Fractional Calculus and Applied Analysis 26: 800-830.
Medina M. and Ochoa P. (2023), ‘’Equivalence of solutions for non-homogeneous p(x)-Laplace equations’’. Mathematics in Engineering 5 2.
de Borbón L., Del Pezzo L. and Ochoa P. (2022), ''Weak and viscosity solutions for non-homogeneous fractional equations in Orlicz spaces''. Advances in Differential Equations 27 11: 735-780.
Ochoa P. and Vera de Serio V. (2022), ''A viscosity solution approach to regularity properties of the optimal value function'' Journal of Mathematical Analysis and Applications 505 1: 1-21.
Ochoa P. and Ruiz J. A. (2021), ''Solving singular evolution problems in sub-Riemannian groups via deterministic games''. Electronic Journal of Differential Equations 2021 57:1-22.
da Silva J. V., Ochoa P. and Silva A. (2021), ''Fractional elliptic problems with nonlinear gradient sources and measures''. Revista Matemática Complutense 1-30.
de Borbón M. L. and Ochoa P. (2021), ''A capacity-based condition for existence of solutions to fractional elliptic equations with first-order terms and measures''. Potential Analysis 55 4: 677-698.
Abdellaoui B., Ochoa P. and Peral I. (2021), ''A note on quasilinear equations with fractional diffusion''. Mathematics in Engineering 3 2: 1-28.
Bertoldi D. and Ochoa P. (2019), ''A new thermodynamical model for solid metals under elastic deformations''. Continuum Mechanics and Thermodynamics 31 5: 1425-1437.
Medina M. and Ochoa P. (2019), "On viscosity and weak solutions for non-homogeneous p-Laplace equations". Advances in Nonlinear Analysis: 8 1: 468-481.
Ochoa P. and Ruiz J. A. (2019), "A study of comparison, existence and regularity of viscosity and weak solutions for quasilinear equations in the Heisenberg group". Communications on Pure and Applied Analysis 18 3: 1091-1115.
da Silva J. and Ochoa P. (2019), "Fully non-linear parabolic dead-core problems". Pacific Journal of Mathematics 300 1: 179-213
Garriga M. and Ochoa P. (2018), "N-Lusin property in metric measure spaces: a new sufficient condition". Forum Mathematicum 30 16: 1475-1486.
Ochoa P., Silva A. and da Silva J. (2018), "Regularity for degenerate evolution equations with strong absorption". Journal of Differential Equations 264: 7270-7293.
Ochoa P. and Ruiz J. (2017), "Existence and uniqueness results for linear second-order equations in the Heisenberg group". Annales Academiae Scientiarum Fennicae Mathematica 42: 1063-1085
Ochoa P. (2015), "Approximation schemes for non-linear second order equations on the Heisenberg group". Communications on Pure and Applied Analysis 14 5: 1841-1863
Lewicka M., Ochoa P. and Pakzad P. (2015), "Variational Models for prestrained plates with Monge-Ampere constraint". Differential and Integral Equations 28 9: 861-898.
Ochoa P. (2015), "A comparison principle for singular parabolic equations in the Heisenberg group". Electronic Journal of Differential Equations 2015 120: 1-15.
Lewicka M. and Ochoa P. (2015), "On the variational limits of lattice energies on prestrained elastic bodies". In ‘Differential Geometry and Continuum Mechanics’. Editors: Editors: G-Q. Chen, M. Grinfeld and R. J. Knops. Springer International Publishing. ISBN: 978-3-319-18572-9: 281-306.
Ochoa P. and Vera de Serio V. N. (2012), "Stability of the primal-dual partition in linear semi-infinite programming". Optimization 61 12: 1449-1465.