On $(p,N)$-Laplace multivalued equations with critical exponential nonlinearity in $\mathbb{R}^N$

Ankit; Abhishek Sarkar

doi:10.1007/s41808-026-00431-1

On $(p,N)$-Laplace multivalued equations with critical exponential nonlinearity in $\mathbb{R}^N$

Analysis of PDEs 2026-01-26 v1

Authors: Ankit , Abhishek Sarkar

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Abstract

In this paper, we study the existence of nonnegative solutions for a class of multivalued $(p,N)$ -Laplace problems having discontinuous nonlinearity with critical exponential growth in $\mathbb{R}^N$ . To demonstrate the existence results, we utilized variational methods for non-differentiable functions.

Keywords

(p,N)-Laplace equation multivalued equation critical exponential nonlinearity variational methods nonnegative solutions

Cite

@article{arxiv.2511.14290,
  title  = {On $(p,N)$-Laplace multivalued equations with critical exponential nonlinearity in $\mathbb{R}^N$},
  author = {Ankit and Abhishek Sarkar},
  journal= {arXiv preprint arXiv:2511.14290},
  year   = {2026}
}

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