Existence and a priori estimates for semilinear elliptic systems of Hardy type J. Pačuta Received: November 14, 2013; Accepted: November 15, 2013 Abstract. We study semilinear elliptic systems of Hardy type on bounded domains. We look for conditions guaranteeing the existence and uniform boundedness of very weak solutions satisfying homogeneous Dirichlet boundary conditions. Keywords: elliptic systems; very weak solutions; a priori estimates. AMS Subject classification: Primary: 35J66, 35B45 Secondary: 35B65 Version to read: PDF ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2013, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |