Previous |  Up |  Next

# Article

 Title: On some $L^{p}$-estimates for solutions of elliptic equations in unbounded domains (English) Author: Monsurrò, Sara Author: Transirico, Maria Language: English Journal: Mathematica Bohemica ISSN: 0862-7959 (print) ISSN: 2464-7136 (online) Volume: 140 Issue: 4 Year: 2015 Pages: 507-515 Summary lang: English . Category: math . Summary: In this review article we present an overview on some a priori estimates in $L^p$, $p>1$, recently obtained in the framework of the study of a certain kind of Dirichlet problem in unbounded domains. More precisely, we consider a linear uniformly elliptic second order differential operator in divergence form with bounded leading coeffcients and with lower order terms coefficients belonging to certain Morrey type spaces. Under suitable assumptions on the data, we first show two $L^p$-bounds, $p>2$, for the solution of the associated Dirichlet problem, obtained in correspondence with two different sign assumptions. Then, putting together the above mentioned bounds and using a duality argument, we extend the estimate also to the case \$1

## Files

Files Size Format View
MathBohem_140-2015-4_11.pdf 245.3Kb application/pdf View/Open

Partner of