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Solvability of the Dirichlet Problem in W^(2,p )for a Class of Elliptic Equations with Singular Data

Solvability of the Dirichlet Problem in W^(2,p )for a Class of Elliptic Equations with Singular Data
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摘要 We prove an existence and uniqueness result for the Dirichlet problem for a class of elliptic equations with singular data in weighted Sobolev spaces. We prove an existence and uniqueness result for the Dirichlet problem for a class of elliptic equations with singular data in weighted Sobolev spaces.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2014年第5期737-746,共10页 数学学报(英文版)
关键词 Elliptic equations a priori estimates uniqueness and existence results weighted spaces Elliptic equations,a priori estimates,uniqueness and existence results,weighted spaces
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参考文献30

  • 1Adams, R. A.: Sobolev Spaces, Academic Press, New York, 1975.
  • 2Benci, V., Fortunato, D.: Weighted Sobolev spaces and the nonlinear Dirichlet problem in unbounded domains. Ann. Mat. Pura Appl., 121, 319-336 (1979).
  • 3Boccia, S., Monsurro, S., Transirico, M.: Elliptic equations in weighted Sobolev spaces on unbounded domains. Int. J. Math. Math. Sei., 2008, Art. ID 582435, 12 pp (2008).
  • 4Boccia, S., Monsurro, S., Transirico, M.: Solvability of the Diriehlet problem for elliptic equations in weighted Sobolev spaces on unbounded domains. Bound. Value Probl., 2008, Art. ID 901503, 13 pp (2008).
  • 5Canale, A., Caso, L., Di Gironimo, P.: Weighted norm inequalities on irregular domains. Rend. Accad. Naz. Sci. XL Mere. Mat., 16, 193-209 (1992).
  • 6Canale, A., Caso, L., Transirieo, M.: Second order elliptic equations with discontinuous coefficients in irregular domains. Rend. Accad. Naz. Sci. XL Mere. Mat. Appl., 24, 63-79 (2000).
  • 7Caso, L.: Regularity results for singular elliptic problems. J. Funct. Spaces Appl., 4, 243 259 (2006).
  • 8Caso, L.: Properties of weak solutions of an elliptic problem in weighted spaces. Int. J. Pure Appl. Math., 62, 151-166 (2010).
  • 9Caso, L., Cavaliere, P., Transirieo, M.: A priori bounds for elliptic equations. Ricerche Mat., 51, 381-396 (2002).
  • 10Caso, L., Cavaliere, P., Transirico, M.: Existence results for elliptic equations. J. Math. Anal. Appl., 274, 554 563 (2002).

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