Geodesic
The support barrier functions for nonlinear parabolic problems
Čebyševskij sbornik, Tome 25 (2024) no. 2, pp. 235-242

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Within the framework of the nonlinear method of angular boundary functions, the existence of solutions to nonlinear boundary value problems is proven through the construction of barrier functions. Barrier functions are constructed through specially designated support barriers. The support barriers themselves can also act as barrier functions. The resulting inequalities, in turn, are of independent functional interest.
Keywords: nonlinear boundary value problems, barrier functions, functional inequalities. 
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     author = {A. I. Denisov and I. V. Denisov},
     title = {The support barrier functions for nonlinear parabolic problems},
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A. I. Denisov; I. V. Denisov. The support barrier functions for nonlinear parabolic problems. Čebyševskij sbornik, Tome 25 (2024) no. 2, pp. 235-242. http://geodesic.mathdoc.fr/item/CHEB_2024_25_2_a13/