Existence of positive solution for a critical system in $$\mathbb {R}^{N}_{+}$$
Author:
Publisher
Springer Science and Business Media LLC
Subject
General Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s12215-022-00721-2.pdf
Reference12 articles.
1. Alves, C.O., de Holanda, A.R., Fernandes, J.A.: Existence of positive solution for a quasi-linear problem with critical growth in $$\mathbb{R}^{N}_{+}$$. Glasg. Math. J. 51(2), 367–383 (2009)
2. Benci, V., Cerami, G.: Existence of positive solutions of the equation $$-\Delta u +a(x)u=u^{\frac{N+2}{N-2}}$$ in $$\mathbb{R}^N,$$. J. Funct. Anal. 88, 90–117 (1990)
3. Cerami, G., Passaseo, D.: Nonminimizing positive solutions for equation with critical exponents in the half-space. SIAM J. Math. Anal. 28, 867–885 (1997)
4. Struwe, M.: A global compactness result for elliptic boundary value problems involving limiting nonlinearities. Math. Z. 187(4), 511–517 (1984)
5. de Morais Filho, D.C., Souto, M.A.S.: Systems of p-Laplacian equations involving homogeneous nonlinearities with critical Sobolev exponent degrees. Commun. Partial Diff. Equ. 24, 1537–1553 (1999)
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