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Super-Subsolution Methods for Nonlocal Problems With Semipositone Nonlinearities
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DOI：10.1002/mma.70571.png)
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Abstract
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In this paper, we investigate a class of nonlocal Kirchhoff-type problems in Orlicz-Sobolev spaces, involving strongly perturbed singular terms and Heaviside-type discontinuous nonlinearities. By combining the monotone operator theory with the method of super- and subsolutions, we establish the existence and multiplicity of positive solutions. Our results extend previous works on -Laplacian and nonlocal Kirchhoff problems by addressing more general nonlinearities, including semipositone and concave-convex cases. Several illustrative examples are provided to demonstrate the applicability of our approach.
Keywords:
Heaviside-type
nonlinear equations
nonlinearities
nonlocal-type problems
positive solutions
Journal
M
IF:
1.8
Papers:
701
Citations:
0
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