When　contact　radius　reduces　to　micro　or　nano　scale,　the　influence　of　surface　tension　becomes　important.　In　this　paper,　we　summarize　some　of　our　works　in　this　subject.　Based　on　the　solution　of　a　point　force　acting　on　an　elastic　half　space　with　surface　tension,　we　consider　the　indentation　on　an　elastic　half　space　by　rigid　cylinder　and　sphere,　respectively.　The　explicit　relations　of　load　depending　on　contact　radius　and　indent　depth　are　presented.　Through　a　finite　element　approach　accounting　for　surface　energy,　we　verify　the　equivalence　of　the　compression　of　an　elastic　sphere　and　the　indentation　of　a　half　space,　even　with　the　presence　of　surface　tension.　Furthermore,　we　address　the　influence　of　surface　tension　on　adhesive　contact,　and　give　the　explicit　expressions　of　contact　radius　and　indent　depth.　These　works　are　useful　to　accurately　characterize　the　contact　problems　at　micro　and　nano　scale.　(C)　2017　Published　by　Elsevier　B.V.