1,721,028 research outputs found
Symmetrization in a nonlinear degenerate parabolic problem
No full textBounds for the solution of a nonlinear degenerate parabolic problem are given by means of the sollution of a "symmetrized" problem
A priori bounds in Lp for solutions of elliptic equations in divergence form
No full textWe prove an a priori bound in Lp, p>1, for the solutions of the Dirichlet problem for second order linear elliptic partial differential equations in divergence form with discontinuous coefficients in unbounded domains
On a potential estimates approach to elliptic equations and its application to a priori estimates
No full textSome remarks on the Dirichlet problem for an elliptic equation
No full textThe best constant for the inequality (3) is given; we deduce some results about the Dirichlet problem for an elliptic equation
The Dirichlet problem for elliptic equations in weighted Sobolev spaces
No full textIn this paper we prove some existence and uniqueness results for the Dirichlet problem for elliptic equations with singular coefficients in weighted Sobolev spaces
Second-order elliptic equations of Cordes type in unbounded open subsets in R^n.
No full textIn this paper we study the Dirichlet problem for linear second order elliptic partial differential equations of Cordes type in unbounded domains. We obtain some existence and uniqueness results
Some remarks on a class of weight functions
Full text linksummary:In this paper we obtain some results about a class of functions , where is an open set of , which are related to the distance function from a fixed subset . We deduce some imbedding theorems in weighted Sobolev spaces, where the weight function is a power of a function
Dirichlet problem for elliptic equations in weighted Sobolev spaces on unbounded domains
No full textIn this review article we give an overview on some known results recently obtained within the study of the Dirichlet problem for a class of second-order linear elliptic equations in weighted Sobolev spaces on unbounded domains
Dirichlet problem for the Laplace operator in a rectangle and in a strip
No full textBounds for the solution of the Dirichlet problem for the Laplace operator in a rectangle and in a strip are given by means of the solution of a "symmetrized" problem
A weighted W2,p-a priori bound for a class of elliptic operators
Full text linkWe prove a weighted W2,p-a priori bound, p > 1, for a class of uniformly elliptic second-order differential operators on unbounded domains. We deduce a uniqueness and existence result for the solution of the related Dirichlet problem
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