DOI: 10.1515/math-2022-0605 ISSN: 2391-5455

Existence and nonexistence of solutions for elliptic problems with multiple critical exponents

Yuanyuan Li
  • General Mathematics
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Abstract

In this article, the existence and nonexistence of solutions for the quasilinear elliptic equations involving multiple critical terms under Dirichlet boundary conditions on bounded smooth domains

Ω ⊂ R N ( N ≥ 3 ) \Omega \subset {R}^{N}(N\ge 3)
are proved by using the variational method and Pohozaev identity, respectively.

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