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Capacity induced by a nonlinear operator and applications. (English) Zbl 1157.35305

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.

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
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