Ir al contenido

Documat


Nonlinear elliptic p(u)− Laplacian problem with Fourier boundary condition

  • Autores: Stanislas Ouaro, Noufou Sawadogo
  • Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 22, Nº. 1, 2020, págs. 85-124
  • Idioma: inglés
  • DOI: 10.4067/S0719-06462020000100085
  • Enlaces
  • Resumen
    • español

      Resumen Estudiamos un problema p(u)−Laplaciano elíptico nolineal con condiciones de borde Fourier y datos L1. Se establecen resultados de existencia y unicidad de soluciones de entropía.

    • English

      Abstract We study a nonlinear elliptic p(u)− Laplacian problem with Fourier boundary conditions and L1− data. The existence and uniqueness results of entropy solutions are established.

  • Referencias bibliográficas
    • Andreianov, B.,Bendahmane, M.,Ouaro, S.. (2010). Structural stability for variable exponent elliptic problems. I. The p(x)-Laplacian kind...
    • Andreianov, B.,Bendahmane, M.,Ouaro, S.. (2010). Structural stability for variable exponent elliptic problems, II: The p(u)-Laplacian and...
    • Andreianov, B.,Bouhsiss, F.. (2004). Uniqueness for an elliptic parabolic problem with Neumann boundary condition. J. Evol. Equ.. 4. 273
    • Andreu, F.,Igbida, N.,Mazón, J.M.,Toledo, J.. (2007). L1 existence and uniqueness results for quasi-linear elliptic equations with nonlinear...
    • Andreu, F.,Mazón, J.M.,Segura de León, S.,Toledo, J.. (1997). Quasi-linear elliptic and parabolic equations in L1 with nonlinear boundary...
    • Antontsev, S.N.,Rodrigues, J.F.. (2006). On stationary thermo-rheological viscous flows. Ann. Univ. Ferrara Sez. VII Sci. Mat.. 52. 1936
    • Ball, J.M.. (1989). PDEs and continum models of phase transitions. Springer.
    • Benboubker, M.B.,Ouaro, S.,Traor, U.. (2014). Entropy solutions for nonhomogeneous Neumann problems involving the generalized p(x)-laplacian...
    • Chen, Y.,Levine, S.,Rao, M.. (2006). Variable exponent, linear growth functionals in image restoration. SIAM. J.Appl. Math. 66. 13831406
    • Dolzmann, G.,Hungerbhler, N.,Mller, S.. (1997). The p-harmonic system with measure-valued right hand side. Ann. Inst. H. Poincar. Anal. Non...
    • Eymard, R.,Galloet, T.,Herbin, R.. (2000). Finite volume methods. North-Holland.
    • Hungerbhler, N.. (2001). Quasi-linear parabolic systems in divergence form with weak monotonicity,. Duke Math. J.. 107. 497520
    • Hungerbhler, N.. (1997). A refinement of Ball’s theorem on Young measures. New York J. Math. 3. 4853
    • Ibrango, I.,Ouaro, S.. (2015). Entropy solution for doubly nonlinear elliptic anisotropic problems with Fourier boundary conditions. Differential...
    • Nyanquini, I.,Ouaro, S.. (2012). Entropy solution for nonlinear elliptic problem involving variable exponent and Fourier type boundary condition....
    • Le, V. K.. (2009). On sub-supersolution method for variational inequalities with Leray-Lions operators in variable exponent spaces. Nonlinear...
    • Lions, J.-L.. (1969). Quelques mthodes de rsolution de problmes aux limites nonlinaires,. Dunod. Gauthier-Villars. Paris.
    • Ouaro, S.,Tchousso, A. (2011). Well-posedness result for a nonlinear elliptic problem involving variable exponent and Robin type boundary...
    • Pedregal, P.. (1997). Parametrized measures and variational principles.. Birkhäuser. Basel.
    • Ruzicka, M.. (2002). Electrorheological fluids: modelling and mathematical theory. Springer-Verlag. Berlin.
    • Sanchón, M.,Urbano, J. M.. (2009). Entropy solutions for the p(x)-Laplace Equation. Trans. Amer. Math. Soc.. 361. 63876405
    • Showalter, R. E.. Monotone operators in Banach space and nonlinear partial differential equations. American Mathematical Society.
    • Wang, L.,Fan, Y.,Ge, W.. (2009). Existence and multiplicity of solutions for a Neumann problema involving the p(x)−Laplace operator. Nonlinear...
    • Yao, J.. (2008). Solutions for Neumann boundary value problems involving p(x)-Laplace operator. Nonlinear Anal: (TMA). 68. 12711283
Los metadatos del artículo han sido obtenidos de SciELO Chile

Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno