<p>We investigate the weighted Steklov eigenvalue problem and the weighted Schrödinger–Steklov eigenvalue problem in outward cuspidal domains. We prove the solvability of these spectral problems in both linear and non-linear cases.</p>

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On the weighted Steklov eigenvalue problems in outward cuspidal domains

  • Prashanta Garain,
  • Vladimir Gol’dshtein,
  • Alexander Ukhlov

摘要

We investigate the weighted Steklov eigenvalue problem and the weighted Schrödinger–Steklov eigenvalue problem in outward cuspidal domains. We prove the solvability of these spectral problems in both linear and non-linear cases.