On the radial solutions of a degenerate quasilinear elliptic equation in
On the radially symmetric solutions of a BVP for a class of nonlinear elliptic partial differential equations.
On the range of nonlinear operators with linear asymptotes which are not invertible
On the range of nonlinear operators with linear asymptotes which are not invertible
On the Rate of Convergence of the Preconditioned Conjugate Gradient Method.
On the rectifiability of domains with finite perimeter
On the regularity of a free boundary for a nonlinear obstacle problem arising in superconductor modelling
On the regularity of elliptic differential equations using symmetry techniques and suitable discrete spaces.
On the regularity of local minimizers of decomposable variational integrals on domains in
We consider local minimizers of variational integrals like or its degenerate variant with exponents which do not fall completely in the category studied in Bildhauer M., Fuchs M., Calc. Var. 16 (2003), 177–186. We prove interior - respectively -regularity of under the condition that . For decomposable variational integrals of arbitrary order a similar result is established by the way extending the work Bildhauer M., Fuchs M., Ann. Acad. Sci. Fenn. Math. 31 (2006), 349–362.
On the regularity of solutions to a nonvariational elliptic equation
On the regularity of the minimizer of a functional with exponential growth
Minimizers of a functional with exponential growth are shown to be smooth. The techniques developed for power growth are not applicable to the exponential case.
On the Regularity of the Solution of the Biharmonic Variational Inequality.
On the regularity of weak solutions to non linear elliptic systems of partial differential equations.
On the regularity of weak solutions to nonlinear elliptic systems via Liouville's type property
On the regularity of weak solutions to nonlinear elliptic systems of partial differential equations [Abstract of thesis]
On the regularity up to the boundary for higher order quasilinear elliptic systems
On the Relation between the S-matrix and the Spectrum of the Interior Laplacian
The main results of this paper are: 1) a proof that a necessary condition for 1 to be an eigenvalue of the S-matrix is real analyticity of the boundary of the obstacle, 2) a short proof that if 1 is an eigenvalue of the S-matrix, then k² is an eigenvalue of the Laplacian of the interior problem, and that in this case there exists a solution to the interior Dirichlet problem for the Laplacian, which admits an analytic continuation to the whole space ℝ³ as an entire function.
On the relationship between difference and projection-difference methods
On the Relative Completeness of the Generalized Eigenvectors of Elliptic Eigenvalue Problems with Indefinite Weight Functions.
On the remainder in the Weyl formula for the Euclidean disk
We prove a 2-terms Weyl formula for the counting function of the spectrum of the Laplace operator in the Euclidean disk with a sharp remainder estimate .