Anurag Prasad
Mathematics
December 2021
The main eigenvalue of the P-Laplacian and critical sets of harmonic functions are important topics in numerical examination and partial differential equations. In this review, we mean to research the relationship between the main eigenvalue of the P-Laplacian and critical sets of harmonic functions. We present the P-Laplacian and its related eigenvalue problem. We then, at that point, examine the concept of critical sets of harmonic functions and their relationship to the eigenvalue problem. We prove that the critical sets of harmonic functions are connected with the main eigenvalue of the P-Laplacian and that the first eigenvalue can be expressed in quite a while of the critical sets.
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