Project Details
Abstract
where Ω ? RN (N ? 3) is a bounded domain with smooth boundary @Ω such that the points 0; ? 2 Ω, ? > 0, 1 ? q < 2, 0 < t1; t2 < 2, ? < ¯?, ¯? = ( N 2 2 )2 is the best Hardy constant, and all 0 < t < 2, 2?(t) = 2(Nt) N2 is the critical Hardy-Sobolev exponent. Note that 2?(0) = 2? = 2N N2 is the critical Sobolev exponent. By variational methods and analysis techniques, we hope to obtain the existence and multiplicity results of positive solutions to the equation (E?).</
Project IDs
Project ID:PA10406-1336
External Project ID:MOST104-2115-M182-002
External Project ID:MOST104-2115-M182-002
Status | Finished |
---|---|
Effective start/end date | 01/08/15 → 31/07/16 |
Keywords
- semilinear elliptic equation
- critical exponent
- Hardy-Sobolev inequality
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