On measure of noncompactness in variable exponent Lebesgue spaces and applications to integral equations
Abstract A novel measure of noncompactness is defined in variable exponent Lebesgue spaces L p ( ⋅ ) $L^{p(\cdot )}$ on an unbounded domain R + $\mathbb{R}^{+}$ and its properties are examined. Using the fixed point method, we apply that measure to study the existence theorem for nonlinear integral...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-12-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-023-03067-0 |