SEMIREGULAR CORNER SINGULARITIES OF SMOOTH FUNCTIONS
Yu. I. Sapronov · Mathematics of the USSR-Sbornik · 1991
The author considers m-corner singular points (boundary points for m=1) of smooth functions with nondegenerate second differentials, and studies bifurcation diagrams of functions (of corner singularities) and asymptotic representations of bifurcation conditional extremals (in the corner). For m = 2, three soft bifurcations of conditional minima are described. Examples are given to illustrate potential applications of corner singularities of nonlinear variational equations of mathematical physics. Figures 4. Bibliography: 29 titles.