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Multiplicity of normalized solutions for p-Laplacian equation with critical growth in RN
  • Xueqin Peng
Xueqin Peng
University of Shanghai for Science and Technology
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Abstract

In this paper, we consider the following p-Laplacian equation      −∆pu + |u|p−2u − λu = µ|u|q−2u + |u|p∗−2u, in RN, u > 0, ∫ RNu2dx = a2, where a,µ > 0, −∆pu = div(|∇u|p−2∇u),1 < p < N, λ ∈ R is an unknown parameter that appears as a Lagrange multiplier, p < q

Peer review status:UNDER REVIEW

08 May 2021Submitted to Mathematical Methods in the Applied Sciences
10 May 2021Assigned to Editor
10 May 2021Submission Checks Completed
02 Jun 2021Reviewer(s) Assigned