Solvability of the Dirichlet problem for elliptic equations in weighted Sobolev spaces on unbounded domains.
Boccia, Serena, Monsurrò, Sara, Transirico, Maria (2008)
Boundary Value Problems [electronic only]
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Boccia, Serena, Monsurrò, Sara, Transirico, Maria (2008)
Boundary Value Problems [electronic only]
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Maria Alessandra Ragusa (1999)
Commentationes Mathematicae Universitatis Carolinae
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In this note the well-posedness of the Dirichlet problem (1.2) below is proved in the class for all and, as a consequence, the Hölder regularity of the solution . is an elliptic second order operator with discontinuous coefficients and the lower order terms belong to suitable Lebesgue spaces.
Caso, Loredana, D'Ambrosio, Roberta, Monsurrò, Sara (2010)
Abstract and Applied Analysis
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Burenkov, Viktor I.
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Shakhmurov, Veli B. (2007)
Abstract and Applied Analysis
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Paola Cavaliere, Maria Transirico (2005)
Commentationes Mathematicae Universitatis Carolinae
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In this paper an existence and uniqueness theorem for the Dirichlet problem in for second order linear elliptic equations in the plane is proved. The leading coefficients are assumed here to be of class .
Guliyev, Emin V., Mammadov, Yagub Y. (2010)
Abstract and Applied Analysis
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