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3 results

  • A Hopf-type Boundary Point Lemma for Pairs of Solutions to Quasilinear Equations

  • Part of
  • Leobardo Rosales
  • Journal:
    Canadian Mathematical Bulletin / Volume 62 / Issue 3 / September 2019
    Published online by Cambridge University Press:
    22 February 2019, pp. 607-621
    Print publication:
    September 2019
    • Article
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  • We present a Hopf boundary point lemma for the difference between two Hölder continuously differentiable functions, each weak solutions to a divergence-form quasilinear equation, under mild boundedness assumptions on the coefficients of this equation.

  • Generalizing Hopf’s Boundary Point Lemma

  • Part of
  • Leobardo Rosales
  • Journal:
    Canadian Mathematical Bulletin / Volume 62 / Issue 1 / March 2019
    Published online by Cambridge University Press:
    04 January 2019, pp. 183-197
    Print publication:
    March 2019
    • Article
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  • We give a Hopf boundary point lemma for weak solutions of linear divergence form uniformly elliptic equations, with Hölder continuous top-order coefficients and lower-order coefficients in a Morrey space.

  • Structure of solutions to Fuchsian systems of partial differential equations

  • Takeshi Mandai, Hidetoshi Tahara
  • Journal:
    Nagoya Mathematical Journal / Volume 169 / 2003
    Published online by Cambridge University Press:
    22 January 2016, pp. 1-17
    Print publication:
    2003
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  • To a certain Volevič system of singular partial differential equations, called a Fuchsian system, all the solutions of the homogeneous equation in a complex domain are constructed and parametrized in a good way, without any assumption on the characteristic exponents.