6533b85dfe1ef96bd12bea8a

RESEARCH PRODUCT

Existence results for parametric boundary value problems involving the mean curvature operator

Jean MawhinGabriele BonannoRoberto Livrea

subject

Mean curvatureApplied Mathematicsmedia_common.quotation_subjectMathematical analysisZero (complex analysis)34B1535B38Interval (mathematics)34B18InfinityOperator (computer programming)Boundary value problemDifferential (infinitesimal)AnalysisMathematicsmedia_commonParametric statistics

description

In this note we propose a variational approach to a parametric differential problem where a prescribed mean curvature equation is considered. In particular, without asymptotic assumptions at zero and at infinity on the potential, we obtain an explicit positive interval of parameters for which the problem under examination has at least one nontrivial and nonnegative solution.

yearjournalcountryeditionlanguage
2014-10-04
10.1007/s00030-014-0289-7http://hdl.handle.net/10447/258599