Reduction of quasilinear equations in cylindrical domains with applications. (English) Zbl 0647.35034

The author studies quasilinear partial differential equations of elliptic and parabolic type and possible applications including free surface waves and problems in nonlinear elasticity. No numerical experiments are presented.
Reviewer: P.K.Mahanti


35J65 Nonlinear boundary value problems for linear elliptic equations
35K55 Nonlinear parabolic equations
35B32 Bifurcations in context of PDEs
35R35 Free boundary problems for PDEs
58D25 Equations in function spaces; evolution equations
76B25 Solitary waves for incompressible inviscid fluids
34G10 Linear differential equations in abstract spaces
34G20 Nonlinear differential equations in abstract spaces
35R20 Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions)
74B20 Nonlinear elasticity
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