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Existence and multiplicity of solutions to p-Kirchhoff-Choquard-type equations
AIMS Mathematics 2026, 11(6): 17144-17165
Published: 15 June 2026
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In this paper, we investigate the existence and multiplicity of solutions for a p-Kirchhoff-Choquard-type equation involving a critical exponent. First, we employ the concentration-compactness principle to overcome the lack of compactness arising from the critical exponent. Then, under appropriate assumptions, we obtain the existence of solutions by applying the mountain pass theorem, the symmetric mountain pass theorem, the dual fountain theorem, and various necessary analytical techniques.

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