Normalised solutions for p-Laplacian equations with L^p-supercritical growth

2025/07/04 by Dhara, Raj Narayan, Rizzi, Matteo
#35J20 #35J92 #Analysis of PDEs (math.AP) #FOS: Mathematics #Primary 46E35 #Secondary 35B06

paper · doi:10.48550/arxiv.2507.03429

Abstract

For N≥ 3 and 20 is small enough. The function V∈ L^N/p(ℝ^N), which plays the role of potential, is assumed to be non-positive and vanishing at infinity. Moreover, we will prove the compactness of the embedding of the space of radial functions W^1,p_rad(ℝ^N)⊂ L^q(ℝ^N) for p∈(1,N) and q∈(p(N+2)/(N),(Np)/(N-p)).

Citations

• Normalized solutions of mass supercritical Schrodinger-Poisson equation with potential
• k-ended O(m) times O(n) invariant solutions to the Allen-Cahn equation with infinite Morse index
• Clifford Tori and the singularly perturbed Cahn-Hilliard equation

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