Critical Curves of Solutions in Nonlinear Parabolic Equations Involving p, m-Laplace Operators
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DOI: 10.1007/s41980-018-0098-6
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.… read more here.
Keywords: solutions nonlinear; critical curves; involving laplace; nonlinear parabolic ... See more keywords
Perturbation results involving the 1-Laplace operator
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DOI: 10.1515/acv-2017-0006
Abstract: Abstract We consider perturbed eigenvalue problems of the 1-Laplace operator and verify the existence of a sequence of solutions. It is shown that the eigenvalues of the perturbed problem converge to the corresponding eigenvalue of… read more here.
Keywords: perturbation results; results involving; laplace operator; involving laplace ... See more keywords