Oscillation properties of solutions of a class of nonlinear parabolic equations |
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Affiliation: | 1. Department of Mathematical Analysis, Faculty of Mathematics and Physics, Comenius University, 842 15 Bratislava, Slovak Republic;2. Department of Applied Mathematics, Faculty of Science, Fukuoka University, Fukuoka 814-0180, Japan;3. Department of Mathematics, Faculty of Science, Toyama University, Toyama 930-8555, Japan |
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Abstract: | Oscillations of solutions of a class of nonlinear parabolic equations are investigated, and the unboundedness of solutions is also studied as corollaries. Our approach is to employ the modifications of Picone-type identities for half-linear elliptic operators. |
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