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arXiv · 1905.00061

A study and an application of the concentration compactness type principle

Akasmika Panda·Debajyoti Choudhuri
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Abstract

In this article we develop a concentration compactness type principle in a variable exponent setup. As an application of this principle we discuss a problem involving fractional `{\it $(p(x),p^+)$-Laplacian}' and power nonlinearities with exponents $(p^+)^*$, $p_s^*(x)$ with the assumption that the critical set $\{x\in\Omega:p_s^*(x)=(p^+)^*\}$ is nonempty.

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Akasmika Panda, Debajyoti Choudhuri. 2019-04-30. A study and an application of the concentration compactness type principle. https://arxiv.org/abs/1905.00061

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