Positive least energy solutions of fractional Laplacian systems with critical exponent
We study the fractional Laplacian system with critical exponent $$\displaylines{ (-\Delta)^s u+\lambda_1u =\mu_1|u|^{2_s^*-2}u+\beta|u|^{\frac{2_s^*}{2}-2}u|v|^{\frac{2_s^*}{2}} , \quad x\in \Omega , \cr (-\Delta)^s v+\lambda_2v =\mu_2|v|^{2_s^*-2}v+\beta|v|^{\frac{2_s^*}{2}-2}v |u|^{\frac{2_s...
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| Format: | Article |
| Language: | English |
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Texas State University
2016-06-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/150/abstr.html |