SOME BOUNDARY-VALUE PROBLEMS FOR THE EQUATION 〈.(|〈φ|N〈φ)=0

Abstract
Boundary-value problems for the equation 〈.(|〈φ|N〈φ)=0, N>−1 in two space dimensions, are considered which relate to notch and crack problems in the theory of deformation plasticity under conditions of anti-plane strain. The results are also of relevance to problems in nonlinear theories of diffusion and filtration.

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