Elliptic Boundary Problems and the Boutet de Monvel Calculus in Besov and Triebel-Lizorkin Spaces.
Elliptic boundary problems on spaces with conic points
Elliptic boundary value problem in Vanishing Mean Oscillation hypothesis
In this note the well-posedness of the Dirichlet problem (1.2) below is proved in the class for all and, as a consequence, the Hölder regularity of the solution . is an elliptic second order operator with discontinuous coefficients and the lower order terms belong to suitable Lebesgue spaces.
Elliptic boundary value problems with nonvariational perturbation and the finite element method
Elliptic corner operators in spaces with continuous radial asymptotics II
Asymptotic expansions at the origin with respect to the radial variable are established for solutions to equations with smooth 2-dimensional singular Fuchsian type operators.
Elliptic Differential Problems with High Order Boundary Conditions.
Elliptic Equations and Maps of Bounded Length Disortion.
Elliptic equations and rearrangements
Elliptic equations in weighted Sobolev spaces on unbounded domains.
Elliptic equations of higher stochastic order
This paper discusses analytical and numerical issues related to elliptic equations with random coefficients which are generally nonlinear functions of white noise. Singularity issues are avoided by using the Itô-Skorohod calculus to interpret the interactions between the coefficients and the solution. The solution is constructed by means of the Wiener Chaos (Cameron-Martin) expansions. The existence and uniqueness of the solutions are established under rather weak assumptions, the main of which...
Elliptic equations with critical Sobolev exponents in dimension 3
Elliptic equations with decreasing nonlinearity I: barrier method for decreasing solutions
Elliptic equations with decreasing nonlinearity II: radial solutions for singular equations
Elliptic equations with limiting Sobolev exponent: the impact of the Green's function
Elliptic equations with measure data in Orlicz spaces.
Elliptic Equations with Noninvertible Fredholm Linear Part and Bounded Nonlinearities.
Elliptic equations with one-sided critical growth.
Elliptic functions, area integrals and the exponential square class on B₁(0) ⊆ ℝⁿ, n > 2
For two strictly elliptic operators L₀ and L₁ on the unit ball in ℝⁿ, whose coefficients have a difference function that satisfies a Carleson-type condition, it is shown that a pointwise comparison concerning Lusin area integrals is valid. This result is used to prove that if L₁u₁ = 0 in B₁(0) and then lies in the exponential square class whenever L₀ is an operator so that L₀u₀ = 0 and implies is in the exponential square class; here S is the Lusin area integral. The exponential square theorem,...
Elliptic grids with nearly uniform cell area and line spacing.
Elliptic partial differential equations and ordinary differential equations in Banach space