Basic boundary value problems of thermoelasticity for anisotropic bodies with cuts. I.
Basic boundary value problems of thermoelasticity for anisotropic bodies with cuts. II.
Besov Regularity for Second Order Elliptic Boundary Value Problems with Variable Coefficients.
Biharmonic eigenvalue problems and estimates.
Bilateral Evolution Problems of Non-Variational Type: Existence, Uniqueness, Hölder-Regularity and Approximation of Solutions.
Bilinear space-time estimates for homogeneous wave equations
Boundary behaviour in strongly degenerate parabolic equations.
Boundary blow-up solutions to -Laplacian equations with exponential nonlinearities.
Boundary estimates for certain degenerate and singular parabolic equations
We study the boundary behavior of non-negative solutions to a class of degenerate/singular parabolic equations, whose prototype is the parabolic -Laplacian equation. Assuming that such solutions continuously vanish on some distinguished part of the lateral part of a Lipschitz cylinder, we prove Carleson-type estimates, and deduce some consequences under additional assumptions on the equation or the domain. We then prove analogous estimates for non-negative solutions to a class of degenerate/singular...
Boundary estimates for solutions of nonlinear degenerate parabolic systems.
Boundary regularity for certain fully nonlinear elliptic equations.
Boundary regularity for solutions of the equation of prescribed Gauss curvature
Boundary regularity of flows under perfect slip boundary conditions
We investigate boundary regularity of solutions of generalized Stokes equations. The problem is complemented with perfect slip boundary conditions and we assume that the nonlinear elliptic operator satisfies non-standard ϕ-growth conditions. We show the existence of second derivatives of velocity and their optimal regularity.
Boundary Regulartiy for certain quasilinear elliptic systems of divergence structure.
Boundary value problems and duality between Lp Dirichlet and regularity problems for second order parabolic systems in non-cylindrical domains.
In this paper we consider general second order, symmetric and strongly elliptic parabolic systems with real valued and constant coefficients in the setting of a class of time-varying, non-smooth infinite cylindersΩ = {(x0,x,t) ∈ R x Rn-1 x R: x0 > A(x,t)}.We prove solvability of Dirichlet, Neumann as well as regularity type problems with data in Lp and Lp1,1/2 (the parabolic Sobolev space having tangential (spatial) gradients and half a time derivative in Lp) for p ∈ (2 − ε, 2 + ε) assuming...
Boundary value problems for quasi-linear elliptic second order equations in unbounded cone-like domains
We study the behaviour of weak solutions (as well as their gradients) of boundary value problems for quasi-linear elliptic divergence equations in domains extending to infinity along a cone.
Boundedness of the solution of the third problem for the Laplace equation
A necessary and sufficient condition for the boundedness of a solution of the third problem for the Laplace equation is given. As an application a similar result is given for the third problem for the Poisson equation on domains with Lipschitz boundary.
convergence of minimizers of a Ginzburg-Landau functional.
regularity for elliptic equations with the general nonstandard growth conditions
We study elliptic equations with the general nonstandard growth conditions involving Lebesgue measurable functions on . We prove the global regularity of bounded weak solutions of these equations with the Dirichlet boundary condition. Our results generalize the regularity results for the elliptic equations in divergence form not only in the variable exponent case but also in the constant exponent case.
interfaces of solutions for one-dimensional parabolic -Laplacian equations.