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| Paper IPM / M / 17609 |
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| Abstract: | |
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This paper establishes the existence of positive weak solutions for a class of semipositone Kirchhoff-type problems involving nonlocal operators and anisotropic $\Phi$-Laplacians. By combining variational methods with careful asymptotic analysis, we prove that for sufficiently small $a> 0$, the problem admits a positive solution. Our results extend previous work on semipositone problems to the nonlocal kirchhoff setting, overcoming challenges arising from the interplay between the nonlocal term and the indefinite nonlinearity.
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