Radial solutions of singular nonlinear biharmonic equations and applications to conformal geometry.
Régularité Gevrey pour un problème aux limites dans un ouvert à singularité conique
Regularity for a clamped grid equation on a domain with a corner.
Remark on a uniqueness result for a boundary value problem of eighth-order.
Remarks on the Ciarlet-Raviart mixed finite element.
Remarks on the powers of elliptic operators.
Under natural regularity assumptions on the data the powers of regular elliptic boundary value problems (e.b.v.p.) are shown to be higher order regular e.b.v.p.. This result is used in description of the domains of fractional powers of elliptic operators which information is in order important in regularity considerations for solutions of semilinear parabolic equations. Presented approach allows to avoid C∞-smoothness assumption on the data that is typical in many references.
Representation of Green's function for the Dirichlet problem of polyharmonic equations in a ball.
Reverse functional inequalities and their applications to nonlinear elliptic boundary value problems.
Rotation-free solutions with positive infimum of the equation ...u = Pu in a neighbourhood of a singularity of the density P.