{"product_id":"on-the-problem-of-plateau-t-rado-9783540054795","title":"On the Problem of Plateau \/ Subharmonic Functions","description":"A convex function f may be called sublinear in the following sense; if a linear function l is:: =: j at the boundary points of an interval, then l: \u0026gt; j in the interior of that interval also. If we replace the terms interval and linear junction by the terms domain and harmonic function, we obtain a statement which expresses the characteristic property of subharmonic functions of two or more variables. This ge- neralization, formulated and developed by F. RIEsz, immediately at- tracted the attention of many mathematicians, both on account of its intrinsic interest and on account of the wide range of its applications. If f (z) is an analytic function of the complex variable z = x + i y. then If (z) I is subharmonic. The potential of a negative mass-distribu- tion is subharmonic. In differential geometry, surfaces of negative curvature and minimal surfaces can be characterized in terms of sub- harmonic functions. The idea of a subharmonic function leads to significant applications and interpretations in the fields just referred to, and- conversely, every one of these fields is an apparently in- exhaustible source of new theorems on subharmonic functions, either by analogy or by direct implication.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e T. Rado\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3540054790\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783540054795\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 01\/04\/1971\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 109\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.57lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.00h x 6.00w x 0.40d","brand":"T. Rado","offers":[{"title":"Paperback","offer_id":48996295901439,"sku":"9783540054795","price":54.99,"currency_code":"USD","in_stock":true}],"url":"https:\/\/www.whiterainbookhouse.com\/products\/on-the-problem-of-plateau-t-rado-9783540054795","provider":"WR Book House","version":"1.0","type":"link"}