• Corpus ID: 141480115

A study and an application of the concentration compactness type principle

@article{Panda2019ASA,
  title={A study and an application of the concentration compactness type principle},
  author={Akasmika Panda and Debajyoti Choudhuri},
  journal={arXiv: Analysis of PDEs},
  year={2019}
}
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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