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<p>We investigate a double phase problem on non-compact manifolds by leveraging orbit expansions of isometry groups. A revised Ambrosetti-Rabinowitz condition is proposed, and we prove that the problem admits a nontrivial solution and infinitely many solutions, respectively.</p>

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Existence and Multiplicity of Solutions for Double Phase Problem on Non-Compact Riemannian Manifolds

  • 期刊论文

  • 发表日期：

    2026年2月11日

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  • Bin Ge,
  • Mei-Yan Wang

摘要

We investigate a double phase problem on non-compact manifolds by leveraging orbit expansions of isometry groups. A revised Ambrosetti-Rabinowitz condition is proposed, and we prove that the problem admits a nontrivial solution and infinitely many solutions, respectively.