On the Convergence of the Conjugate Gradient Method for Singular Capacitance Matrix Equations from the Neumann Problem of the Poisson Equation.
On the Keldyš-Fichera boundary-value problem for degenerate quasilinear elliptic equations.
On the range of nonlinear operators with linear asymptotes which are not invertible
On the Regularity of the Solution of the Biharmonic Variational Inequality.
On the smoothness of the solutions to the elliptic systems
On the structure of layers for singularly perturbed equations in the case of unbounded energy
We consider singular perturbation variational problems depending on a small parameter . The right hand side is such that the energy does not remain bounded as . The asymptotic behavior involves internal layers where most of the energy concentrates. Three examples are addressed, with limits elliptic, parabolic and hyperbolic respectively, whereas the problems with are elliptic. In the parabolic and hyperbolic cases, the propagation of singularities appear as an integral property after integrating...
On the structure of layers for singularly perturbed equations in the case of unbounded energy
We consider singular perturbation variational problems depending on a small parameter ε. The right hand side is such that the energy does not remain bounded as ε → 0. The asymptotic behavior involves internal layers where most of the energy concentrates. Three examples are addressed, with limits elliptic, parabolic and hyperbolic respectively, whereas the problems with ε > 0 are elliptic. In the parabolic and hyperbolic cases, the propagation of singularities appear as an integral property after...
Oscillation criteria for forced nonlinear elliptic equations of arbitrary order
Oб одной задаче Кона-Ниренберга.
Parameterintegration zur Berechnung von Fundamentallösungen [Book]
Paramétrix d’opérateurs elliptiques de classe
Properness and topological degree for general elliptic operators.
Propriété des itérés et ellipticité
Régularité analytique pour des opérateurs elliptiques singuliers en un point
Régularité analytique pour des opérateurs elliptiques singuliers en un point
Régularité analytique pour des opérateurs elliptiques singuliers en un point
Regularity and Decay of Eigenfunctions.
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.
Remarks on uniqueness results of the first eigenvalue of the p-Laplacian
Reproduzierende Kerne, Fundamentalkerne und Resolventenkerne.