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7 papers · 2 filters
The Dirichlet problem for elliptic operators having a BMO anti-symmetric part
Steve Hofmann, Linhan Li, Svitlana Mayboroda +1
The present paper establishes the first result on the absolute continuity of elliptic measure with respect to the Lebesgue measure for a divergence form elliptic operator with non-…
theory for the square roots and square functions of elliptic operators having a BMO anti-symmetric part
Steve Hofmann, Linhan Li, Svitlana Mayboroda +1
We consider the operator , where the matrix is real-valued, elliptic, with the symmetric part of in , and the ant…
Center manifolds without a phase space for quasilinear problems in elasticity, biology, and hydrodynamics
Robin Ming Chen, Samuel Walsh, Miles H. Wheeler
In this paper, we present a novel center manifold reduction theorem for quasilinear elliptic equations posed on infinite cylinders. This is done without a phase space in the sense…
A dynamical approach to semilinear elliptic equations
Margaret Beck, Graham Cox, Christopher Jones +2
A characterization of a semilinear elliptic partial differential equation (PDE) on a bounded domain in is given in terms of an infinite-dimensional dynamical system.…
Quasilinear elliptic equations with sub-natural growth terms and nonlinear potential theory
Igor E. Verbitsky
We discuss recent advances in the theory of quasilinear equations of the type in the case , where is a nonneg…
Accretivity and form boundedness of second order differential operators
V. G. Maz'ya, I. E. Verbitsky
Let be the general second order differential operator with complex-valued distributional coefficients , , and in a…