Mitidieri, Enzo A Rellich type identity and applications. (English) Zbl 0816.35027 Commun. Partial Differ. Equations 18, No. 1-2, 125-151 (1993). The author develops Rellich’s idea to find general integral identities between pairs of smooth arbitrary functions in order to get non-existence results for semilinear elliptic systems and special classes of higher order equations. The relation of this paper to some previous results of Pohozaev and Pucci, Serrin should be pointed out. Reviewer: P.Drábek (Plzeň) Cited in 4 ReviewsCited in 194 Documents MSC: 35J60 Nonlinear elliptic equations 35J45 Systems of elliptic equations, general (MSC2000) Keywords:Rellich identity; Pokhozhaev identity; non-existence results for semilinear elliptic systems PDF BibTeX XML Cite \textit{E. Mitidieri}, Commun. Partial Differ. Equations 18, No. 1--2, 125--151 (1993; Zbl 0816.35027) Full Text: DOI References: [1] Clément Ph., to appear in Comm. P.D.E [2] DOI: 10.1007/BF00381236 · Zbl 0724.35044 [3] Friedman A, I A, Math 34 pp 65– (1987) [4] Mitidieri E., work in preparation [5] Mitidieri E., preprint [6] DOI: 10.1090/S0002-9947-1960-0111898-8 [7] Payne L.E, Pacific J. Math 8 pp 551– (1958) [8] Peletier L.A., to appear in Diff. Integral Eqs [9] Pohozaev S.I, Soviet Math.Dokl 5 pp 1408– (1965) [10] DOI: 10.1512/iumj.1986.35.35036 · Zbl 0625.35027 [11] Pucci P, J Math. Pures et Appl 69 pp 55– (1990) [12] DOI: 10.1007/BF01181459 · Zbl 0023.04204 [13] Van der Vorst R.C.A.M., preprint [14] DOI: 10.1007/BF00375674 · Zbl 0796.35059 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.