Multiplicity result for mixed local and nonlocal Kirchhoff problem involving critical growth

V. M. Tripathi

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arXiv · 2411.17169

Multiplicity result for mixed local and nonlocal Kirchhoff problem involving critical growth

V. M. Tripathi

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Abstract

In this paper, we study the multiplicity of nonnegative solutions for mixed local and non-local problem involving critical nonlinearity with sign changing weight. Using Nehari manifold method and fibering map analysis, we have shown existence of two solutions.

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V. M. Tripathi. 2024-11-26. Multiplicity result for mixed local and nonlocal Kirchhoff problem involving critical growth. https://arxiv.org/abs/2411.17169

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