Compactness results for Ginzburg-Landau type functionals with general potentials.
Comparing multilevel coarsening strategies.
Comparison of a genetic algorithm and a gradient based optimisation technique for the detection of subsurface inclusions.
Comparison of Linear System Solvers Applied to Diffusion-Type Finite Element Equations.
Comparison principle and Liouville type results for singular fully nonlinear operators
Comparison principle for second order elliptic operators and applications
Comparison principles and pointwise estimates for viscosity solutions of nonlinear elliptic equations.
We prove comparison principles for viscosity solutions of nonlinear second order, uniformly elliptic equations, which extend previous results of P. L. Lions, R. Jensen and H. Ishii. Some basic pointwise estimates for classical solutions are also extended to continuous viscosity solutions.
Comparison results for elliptic and parabolic equations via Schwarz symmetrization
Comparison results for Hessian equations via symmetrization
Comparison results for semilinear elliptic equations via Picone-type identities.
Comparison results for solutions of elliptic problems via symmetrization
Comparison theorems for Riccati inequalities arising in the theory of PDEs with -Laplacian.
Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results
Compatible discretization of second-order elliptic problems.
Complete asymptotic expansions for eigenvalues of Dirichlet laplacian in thin three-dimensional rods
We consider the Dirichlet Laplacian in a thin curved three-dimensional rod. The rod is finite. Its cross-section is constant and small, and rotates along the reference curve in an arbitrary way. We find a two-parametric set of the eigenvalues of such operator and construct their complete asymptotic expansions. We show that this two-parametric set contains any prescribed number of the first eigenvalues of the considered operator. We obtain the complete asymptotic expansions for the eigenfunctions...
Complete asymptotic expansions for eigenvalues of Dirichlet Laplacian in thin three-dimensional rods*
We consider the Dirichlet Laplacian in a thin curved three-dimensional rod. The rod is finite. Its cross-section is constant and small, and rotates along the reference curve in an arbitrary way. We find a two-parametric set of the eigenvalues of such operator and construct their complete asymptotic expansions. We show that this two-parametric set contains any prescribed number of the first eigenvalues of the considered operator. We obtain the complete asymptotic expansions for the eigenfunctions...
Completeness of elementary solutions of second order elliptic equations in a semi-infinite tube domain.
Completeness of the system of root functions of boundary value problems for elliptic equations with boundary conditions of Bitsadze-Samarskij type.
Complex geometrical optics solutions for Lipschitz conductivities.
Complex Ginzburg-Landau equations in high dimensions and codimension two area minimizing currents
There is an obvious topological obstruction for a finite energy unimodular harmonic extension of a -valued function defined on the boundary of a bounded regular domain of . When such extensions do not exist, we use the Ginzburg-Landau relaxation procedure. We prove that, up to a subsequence, a sequence of Ginzburg-Landau minimizers, as the coupling parameter tends to infinity, converges to a unimodular harmonic map away from a codimension-2 minimal current minimizing the area within the homology...