Galaktionov, Victor A.; Mitidieri, Enzo; Pohozaev, Stanislav I. Capacity induced by a nonlinear operator and applications. (English) Zbl 1157.35305 Georgian Math. J. 15, No. 3, 501-516 (2008). Summary: We consider the application of the concept of nonlinear capacity induced by nonlinear operators to blow-up problems for various types of nonlinear partial differential equations involving equations with nonlocal nonlinearities. Cited in 3 Documents MSC: 35A25 Other special methods applied to PDEs 35J60 Nonlinear elliptic equations 35K55 Nonlinear parabolic equations 35L75 Higher-order nonlinear hyperbolic equations 35R45 Partial differential inequalities and systems of partial differential inequalities Keywords:nonlinear capacity; blow-up; nonlocal nonlinearity PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., Georgian Math. J. 15, No. 3, 501--516 (2008; Zbl 1157.35305)