Abstract
Under a suitable condition on n and p, the quasilinear equation at critical growth\r\n-\Delta_p u=\lambda |u|^{p-2}u + |u|^{p^*-2} u \r\nis shown to admit a nontrivial weak solution u in W^{1,p}_0(\Omega) for any \lambda\geq\lambda_1.\r\nNonstandard linking structures, for the associated functional, are recognized.
| Original language | English |
|---|---|
| Pages (from-to) | 3643-3659 |
| Number of pages | 17 |
| Journal | Journal of Functional Analysis |
| Volume | 256 |
| Issue number | 11 |
| DOIs | |
| Publication status | Published - 2009 |
All Science Journal Classification (ASJC) codes
- Analysis
Keywords
- Critical point theory
- Differential equations
- Equazioni differenziali
- Teoria dei punti critici
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