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In this paper, we study some nonlinear parabolic equation involving p, m-Laplace operator with nonlinear source and boundary flux. First, we determine the critical curve of the existence of global solutions… Click to show full abstract
In this paper, we study some nonlinear parabolic equation involving p, m-Laplace operator with nonlinear source and boundary flux. First, we determine the critical curve of the existence of global solutions by constructing self-similar auxiliary functions. Second, the exponent region is proposed where every nontrivial solution blows up in finite time. In addition, blow-up phenomenon of the Fujita type is proved for the corresponding Cauchy problem of the nonlinear parabolic equation.
Keywords:
solutions nonlinear;
critical curves;
involving laplace;
nonlinear parabolic;
curves solutions
Journal Title: Bulletin of the Iranian Mathematical Society
Year Published: 2018
Link to full text (if available)
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Journal Title: Bulletin of the Iranian Mathematical Society
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!