Contents V.9, N.2, 2018

  • A PRIORI ESTIMATES FOR SOLUTIONS TO DIRICHLET BOUNDARY VALUE PROBLEMS FOR POLYHARMONIC EQUATIONS IN GENERALIZED MORREY SPACES
    TAHIR GADJIEV, SARDAR ALIEV, SHEHLA GALANDAROVA (pp. 231-242)

    • Abstract.

    A priori estimates are derived for solutions to Dirichlet problem for polyharmonic equations in bounded smooth domains. A problem in generalized Morrey spaces is considered. Based on a priori estimates, the solvability of this problem in generalized Morrey spaces is proved. Similar problem for higher order uniformly elliptic equations is considered. Also, Lp,λ - Lq,λ regularity estimates are obtained.

    Keywords:

    generalized Morrey spaces, polyharmonic equations, a priory estimates, uniformly elliptic equations.

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