Geometric analysis in the Euclidean space

at Departament de Matemàtiques, UAB

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Tag: Manel Sanchon

X. Cabré, M. Sanchón and J. Spruck.    A priori estimates for semistable solutions of semilinear elliptic equations.   Preprint arXiv:1407.0243 (2013).  pdf.

D. Castorina and M. Sanchón.    Regularity of stable solutions to semilinear elliptic equations on Riemannian models.   Preprint arXiv:1312.5866 (2013).  pdf.

D. Castorina and M. Sanchón.    Regularity of stable solutions of p-Laplace equations through geometric Sobolev type inequalities.   Preprint arXiv:1201.3486v1 (2012).  pdf. To appear in JEMS

M. Sanchón.   W1,q estimates for the extremal solution of reaction-diffusion problems.   Nonlinear Anal. 80 (2013), 49-54. pdf.

X. Cabré and M. Sanchón.   Geometric-type Sobolev inequalities and applications to the regularity of minimizers.   J. Funct. Anal. 264 (2013), 303-325.pdf.

X. Cabré, A. Capella and M. Sanchón.    Regularity of radial minimizers of reaction equations involving the p-Laplacian.   Calc. Var. and PDE’s 34 (2009), 475-494. 

M. Sanchón and J.M. Urbano.    Entropy solutions for the p(x)-Laplace equation.   Trans. Amer. Math. Soc. 361 (2009), 6387-6405.

J.F. Rodrigues, M. Sanchón and J.M. Urbano.    The obstacle problem for nonlinear elliptic equations with variable growth and L1 data.   Monatsh. Math 154 (2008), 303-322.

M. Sanchón.    Regularity of the extremal solution of some nonlinear elliptic problems involving the p-Laplacian.   Potential Anal. 27 (2007), 217- 224.

M. Sanchón.    Boundedness of the extremal solution of some p-Laplacian problems.   Nonlinear Anal. 67 (2007), 281-294.

X. Cabré and M. Sanchón.    Stable and extremal solutions of some semilinear problems involving the p-Laplacian.   Comm. Pure Appl. Anal. 6 (2007), n. 1, 43-67.

B. Abdellaoui, E. Colorado and M. Sanchón.    Regularity of entropy solutions of quasilinear elliptic problems related with Hardy-Sobolev inequalities.   Adv. Nonlinear Stud. 6 (2006), 547-562.

X. Cabré, M. Lucia and M. Sanchón.    A mean field equation on a torus: one-dimensional symmetry of solutions.   Comm. Partial Differential Equations 30 (2005), 1315-1330.

À. Calsina and M. Sanchón.    Stability and instability of equilibria of an equation of size structured population dynamics.   J. Math. Anal. Appl. 286 (2003), 435-452.

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