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On the first Robin eigenvalue of a class of anisotropic operators
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classification
math.AP
keywords
eigenvalueanisotropicfirstrobinbetaboundaryboundsclass
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abstract
The paper is devoted to the study of some properties of the first eigenvalue of the anisotropic $p$-Laplace operator with Robin boundary condition involving a function $\beta$ which in general is not constant. In particular we obtain sharp lower bounds in terms of the measure of the domain and we prove a monotonicity property of the eigenvalue with respect the set inclusion.
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