Publications in the current project

• J. Carmona, T. Leonori, S. López-Martínez and P. J. Martínez-Aparicio: Quasilinear elliptic problems with singular and homogeneous lower order terms. Preprint 2017.

• T. Leonori and M. Magliocca: Comparison result for a parabolic Cauchy-Dirichlet problem with superlinear gradient growth. Preprint 2017.

• T. Leonori, M. Medina, I. Peral, A. Primo and F. Soria: Principal eigenvalue of mixed problem for the fractional laplacian: Moving the boundary conditions. Preprint 2017.

• T. Leonori, A. Molino and S. Segura De León: Parabolic equations with natural growth approximated by nonlocal equations. Preprint 2017.

• L. Moreno-Mérida and M. Porzio: Existence and asymptotic behavior of a parabolic equation with L¹ data. Preprint 2017.

• D. Arcoya, A. Molino and L. Moreno-Mérida: Existence and regularizing effect of degenerate lower order terms in elliptic equations beyond the Hardy constant. To appear in Advances in Nonlinear Studies (2018).

• J. Carmona and T. Leonori: A uniqueness result for a singular elliptic equation with gradient term. To appear in Proc. Royal Soc. Edinb. A. (2017).

• F. De Marchis, R. López-Soriano and D. Ruiz: Compactness, existence and multiplicity for the singular mean field problem with sign-changing potentials. To appear in J. Math. Pures Appliquées.

• D. Giachetti, P. J. Martínez-Aparicio and F. Murat: Definition, existence, stability and uniqueness of the solution to a semilinear elliptic problem with a strong singularity at u = 0. To appear in Ann. Sc. Norm. Sup. Pisa.

• A. Molino and J. D. Rossi: Nonlocal approximations to Fokker-Planck equations. To appear in Funkcialaj Ekvacioj.

• A. Ros, D. Ruiz and P. Sicbaldi: Solutions to overdetermined elliptic problems in nontrivial exterior domains. To appear in J. European Math. Soc.

• T. Leonori, M. Magliocca and A. Porretta: Comparison results for nonlinear elliptic and parabolic equations with lower order terms. Preprint 2015.

• D. Giachetti, P. J. Martínez-Aparicio and F. Murat: Existence and homogenization of singular semilinear problems in domains with many small holes and dirichlet boundary condition. Preprint 2014.

• D. Giachetti, P. J. Martínez-Aparicio and F. Murat: Singular semilinear elliptic equations with low growth: existence and homogenization. Preprint 2014.

• J. A. Cañizo and A. Molino: Improved energy methods for nonlocal diffusion problems. Discrete and Continuous Dynamical Systems, 38(3), (2018) 1404-1425. https://doi.org/10.3934/dcds.2018057

• T. Leonori and A. Porretta: On the comparison principle for unbounded solutions of elliptic equations with first order terms. J. Math. Anal. Appl. 457 (2018), no. 2, 1492–1501. https://doi.org/10.1016/j.jmaa.2017.04.018│ MR3705365 │ Zbl 06790548

• A. Molino and J.D. Rossi: A concave-convex problem with a variable operator. Calculus of Variations and Partial Differential Equations, 57:10 (2018). https://doi.org/10.1007/s00526-017-1291-9

• A. Molino and S. Segura de León: Elliptic equations involving the 1-Laplacian and a subcritical source term. Nonlinear Analysis: Theory, Methods & Applications, 168 (2018), 50-66. https://doi.org/10.1016/j.na.2017.11.006

• D. Ruiz and J. Van Schaftingen: Odd symmetry of least energy nodal solutions for the Choquard equation. J. Differ. Equations 264 (2018), 1231-1262 . https://doi.org/10.1016/j.jde.2017.09.034│ Zbl 06807497

• A. Ambrosetti and D. Arcoya: Positive solutions of elliptic Kirchhoff equations. Adv. Nonlinear Stud. 17 (2017), no. 1, 3–15. https://doi.org/10.1515/ans-2016-6004│ MR3604942│ Zbl 06680880

• D. Arcoya and L. Boccardo: Regularizing effect of L^q interplay between coefficients in some elliptic equations. J. Math. Pures Appl. (2017), 20pp. https://doi.org/10.1016/j.matpur.2017.08.001

• D. Arcoya, J. Carmona and P. J. Martínez-Aparicio: Comparison principle for elliptic equations in divergence with singular lower order terms having natural growth. Commun. Contemp. Math. 19 (2017), no. 2, 1650013, 11 pp. https://doi.org/10.1142/S0219199716500139│ MR3611663│ Zbl 1359.35005

• D. Arcoya and L. Moreno-Mérida: The effect of a singular term in a quadratic quasilinear problem. J. Fixed Point Theory Appl. 19 (2017), no. 1, 815–831. https://doi.org/10.1007/s11784-016-0374-0│ MR3625093│ Zbl 06706642

• J. Carmona and P. J. Martínez-Aparicio: Homogenization of singular quasilinear elliptic problems with natural growth in a domain with many small holes. Discrete Contin. Dyn. Syst. 37 (2017), no. 1, 15–31. https://doi.org/10.3934/dcds.2017002│ MR3583469 │ Zbl 357.35026

• J. Carmona, A. Molino and J. D. Rossi: The Gelfand problem for the 1-homogeneous p-laplacian. Adv. Nonlinear Anal. 2017; aop. https://doi.org/10.1515/anona-2016-0233

• D. Giachetti, P. J. Martínez-Aparicio and F. Murat: A semilinear elliptic equation with a mild singularity at u=0: Existence and homogenization. J. Math. Pures Appl. (9) 107 (2017), no. 1, 41–77. https://doi.org/10.1016/j.matpur.2016.04.007│ MR3583569 │ Zbl 1371.35112

• T. Leonori, A. Porretta and G. Riey: Comparison principles for p-Laplace equations with lower order terms. Ann. Mat. Pura Appl. (4) 196 (2017), no. 3, 877–903. https://doi.org/10.1007/s10231-016-0600-9│ MR3654937 │ Zbl 06745747

• M. A. Navarro and S. Villegas: Semi-stable radial solutions of p-Laplace equations in ℝⁿ. Nonlinear Anal. 149 (2017), 111–116. https://doi.org/10.1016/j.na.2016.10.004│ MR3575101│ Zbl 1354.35019

• M. A. Navarro and S. Villegas: Sharp estimates of radial minimizers of p-Laplace equations. Proc. Amer. Math. Soc. 145 (2017), no. 7, 2931–2941. https://doi.org/10.1090/proc/13454│ MR3637942│ Zbl 1370.35150

• A. Ros, D. Ruiz and P. Sicbaldi: A rigidity result for overdetermined elliptic problems in the plane. Comm. Pure Appl. Math. 70 (2017), no. 7, 1223–1252. https://doi.org/10.1002/cpa.21696│ MR3666566 │ Zbl 06740620

• A. Ambrosetti and D. Arcoya: Remarks on homogeneous elliptic Kirchhoff equations. NoDEA Nonlinear Differential Equations Appl. 23 (2016), no. 6, Art. 57, 11 pp. https://doi.org/10.1007/s00030-016-0410-1│ MR3563223│ Zbl 06723753

• L. Boccardo, G. Croce and L. Moreno-Mérida: Resultados de existencia y regularidad para problemas elípticos. Gac. R. Soc. Mat. Esp. 19 (2016), no. 2, 297–321. MR3527854│ Zbl 1358.35019

• J. Carmona and P. J. Martínez-Aparicio: A singular semilinear elliptic equation with a variable exponent. Adv. Nonlinear Stud. 16 (2016), no. 3, 491–498. https://doi.org/10.1515/ans-2015-5039│ MR3518341│ Zbl 1343.35119

• J. Carmona, P. J. Martínez-Aparicio and A. Suárez: A sub-supersolution method for nonlinear elliptic singular systems with natural growth and some applications. Nonlinear Anal. 132 (2016), 47–65. https://doi.org/10.1016/j.na.2015.10.022│ MR3433953│ Zbl 1332.35127

• J. Carmona, A. Molino and L. Moreno-Mérida: Existence of a continuum of solutions for a quasilinear elliptic singular problem. J. Math. Anal. Appl. 436 (2016), no. 2, 1048–1062. https://doi.org/10.1016/j.jmaa.2015.12.034│ MR3446995│ Zbl 1334.35061

• T. D'Aprile, A. Pistoia and D. Ruiz: Asymmetric blow-up for the SU(3) Toda System. J. Funct. Anal. 271 (2016), no. 3, 495–531. https://doi.org/10.1016/j.jfa.2016.04.007│ MR3506954│ Zbl 06588701

• F. De Marchis and R. López-Soriano: Existence and non existence results for the singular Nirenberg problem. Calc. Var. Partial Differential Equations 55 (2016), no. 2, Art. 36, 35 pp. https://doi.org/10.1007/s00526-016-0974-y│ MR3478290│ Zbl 1338.53009

• F. J. Fernández-Polo, A. Molino and A. M. Peralta: Local triple derivations on real C*-algebras and JB*-triples. Bull. Malays. Math. Sci. Soc. 39 (2016), no. 3, 941–955. https://doi.org/10.1007/s40840-015-0203-4│ MR3515060│ Zbl 1367.46057

• D. Giachetti, P. J. Martínez-Aparicio and F. Murat: Advances in the study of singular semilinear elliptic problems. Trends in differential equations and applications, 221–241, SEMA SIMAI Springer Ser., 8, Springer, [Cham], 2016. https://doi.org/10.1007/978-3-319-32013-7_13│ MR3526812

• Y. Jiang, A. Pomponio and D. Ruiz: Standing waves for a gauged nonlinear Schrödinger equation with a vortex point. Commun. Contemp. Math. 18 (2016), no. 4, 1550074, 20 pp. https://doi.org/10.1142/S0219199715500741│ MR3493222│ Zbl 1341.35150

• T. Leonori and A. Porretta: Large solutions and gradient bounds for quasilinear elliptic equations. Comm. Partial Differential Equations 41 (2016), no. 6, 952–998. http://dx.doi.org/10.1080/03605302.2016.1169286│ MR3509520│ Zbl 1348.35083

• R. López-Soriano and D. Ruiz: Prescribing the Gaussian curvature in a subdomain of S² with Neumann boundary condition. J. Geom. Anal. 26 (2016), no. 1, 630–644. https://doi.org/10.1007/s12220-015-9566-x│ MR3441531│ Zbl 1335.35036

• A. Molino: Gelfand type problem for singular quadratic quasilinear equations. NoDEA Nonlinear Differential Equations Appl. 23 (2016), no. 5, Art. 56, 20 pp. https://doi.org/10.1007/s00030-016-0409-7│ MR3549895│ Zbl 1362.35141

• A. Molino and J.D. Rossi: Nonlocal diffusion problems that approximate a parabolic equation with spatial dependence. Z. Angew. Math. Phys. 67 (2016), no. 3, Art. 41, 14 pp. https://doi.org/10.1007/s00033-016-0649-8│ MR3488531│ Zbl 06639234

• L. Moreno-Mérida and R. Vidal: The obstacle problem for the infinity fractional laplacian. Rend. Circ. Mat. Palermo, II. Ser. (2016). https://doi.org/10.1007/s12215-016-0286-2

• M. A. Navarro and S. Villegas: Estimates of the extremal solution for the bilaplacian with general nonlinearity. J. Math. Anal. Appl. 443 (2016), no. 1, 313–321. https://doi.org/10.1016/j.jmaa.2016.05.032│ MR3508491│ Zbl 1342.35089

• S. Villegas: Dichotomy of stable radial solutions of −Δu=f(u) outside a ball. Calc. Var. Partial Differential Equations 55 (2016), no. 3, Art. 57, 13 pp. https://doi.org/10.1007/s00526-016-1001-z│ MR3500295│ Zbl 1344.35014

• S. Villegas: Non-energy semi-stable radial solutions. Commun. Contemp. Math. 18 (2016), no. 3, 1550044, 11 pp. https://doi.org/10.1142/S0219199715500443│ MR3477405│ Zbl 1338.35140

Return to main page

Previous publications

Back to the start