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<p>In this paper, we systematically investigate the ground state solutions of a class of (2,&#xa0;<i>q</i>)-Laplacian Schrödinger equations with inhomogeneous nonlinearity. By analyzing global and local constrained variational problems, we establish the existence, non-existence, and asymptotic behavior of ground states, addressing the mass-subcritical, mass-critical, and mass-supercritical regimes. As a byproduct, we prove a multiplicity of bound states with prescribed mass. Some of our existence results are sharp. The proofs are based primarily on constrained variational techniques.</p>

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Ground State Solutions of a Class of (2, q)-Laplacian Schrödinger Equations with Inhomogeneous Nonlinearity

  • 期刊论文

  • 发表日期：

    2025年12月22日

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  • Ying Huang,
  • Tingjian Luo,
  • Youde Wang

摘要

In this paper, we systematically investigate the ground state solutions of a class of (2, q)-Laplacian Schrödinger equations with inhomogeneous nonlinearity. By analyzing global and local constrained variational problems, we establish the existence, non-existence, and asymptotic behavior of ground states, addressing the mass-subcritical, mass-critical, and mass-supercritical regimes. As a byproduct, we prove a multiplicity of bound states with prescribed mass. Some of our existence results are sharp. The proofs are based primarily on constrained variational techniques.