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ABSENCE OF SOLUTIONS TO SOME ELLIPTIC INEQUALITIES IN CONICAL DOMAINS

E. I. Galakhov

Nikol'skii Mathematical Institute of Peoples' Friendship University of Russia, Moscow



Abstract: Conditions for the absence of solutions to some semilinear elliptic inequalities with argument transformations in conical domains are considered. Critical exponents of nonlinearity are obtained by the method of test functions. In some cases, their optimality is shown. The results were obtained jointly with O.A. Salieva.

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© Steklov Math. Inst. of RAS, 2024