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R. P. Agarwal, E. Azroul, N. Kamali, M. Shimi. ON A CLASS OF $ p(x,\cdot)$ -INTEGRO-DIFFERENTIAL KIRCHHOFF-TYPE PROBLEM WITH SINGULAR KERNEL[J]. Journal of Applied Analysis & Computation, 2025, 15(1): 333-353. doi: 10.11948/20240104
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ON A CLASS OF $ p(x,\cdot)$ -INTEGRO-DIFFERENTIAL KIRCHHOFF-TYPE PROBLEM WITH SINGULAR KERNEL
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Abstract
In this paper, we consider a class of $ p(x, \cdot)$-integro-differential Kirchhoff-type problem with Dirichlet boundary conditions. Considering various variational methods, we establish the existence of multiple solutions taking into account the different situations concerning the non-linearity and growth conditions.
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References
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R. P. Agarwal, E. Azroul, N. Kamali, M. Shimi. ON A CLASS OF $ p(x,\cdot)$ -INTEGRO-DIFFERENTIAL KIRCHHOFF-TYPE PROBLEM WITH SINGULAR KERNEL[J]. Journal of Applied Analysis & Computation, 2025, 15(1): 333-353. doi: 10.11948/20240104
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