The Nehari manifold for fractional systems involving critical nonlinearities
X He, M Squassina, W Zou - arXiv preprint arXiv:1509.02713, 2015 - arxiv.org
We study the combined effect of concave and convex nonlinearities on the number of
positive solutions for a fractional system involving critical Sobolev exponents. With the help …
positive solutions for a fractional system involving critical Sobolev exponents. With the help …
Positive solutions for nonhomogeneous elliptic equations involving critical Sobolev exponent
H Lin - Nonlinear Analysis: Theory, Methods & Applications, 2012 - Elsevier
Positive solutions for nonhomogeneous elliptic equations involving critical Sobolev exponent -
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …
Multiple positive solutions for a critical elliptic system with concave—convex nonlinearities
TS Hsu, HL Lin - Proceedings of the Royal Society of Edinburgh …, 2009 - cambridge.org
Multiple positive solutions for a critical elliptic system with concave—convex nonlinearities
Page 1 Proceedings of the Royal Society of Edinburgh, 139A, 1163–1177, 2009 Multiple …
Page 1 Proceedings of the Royal Society of Edinburgh, 139A, 1163–1177, 2009 Multiple …
Multiple positive solutions for semilinear elliptic systems
H Lin - Journal of Mathematical Analysis and Applications, 2012 - Elsevier
Multiple positive solutions for semilinear elliptic systems Page 1 J. Math. Anal. Appl. 391 (2012)
107–118 Contents lists available at SciVerse ScienceDirect Journal of Mathematical Analysis …
107–118 Contents lists available at SciVerse ScienceDirect Journal of Mathematical Analysis …
[PDF][PDF] Critical system involving fractional Laplacian
M Zhen, J He, H Xu - arXiv preprint arXiv:1703.07615, 2017 - arxiv.org
In this paper, we study the following critical system with fractional Laplacian:\begin
{equation*}\begin {cases}(-\Delta)^{s} u=\mu_ {1}| u|^{2^{\ast}-2} u+\frac {\alpha\gamma}{2 …
{equation*}\begin {cases}(-\Delta)^{s} u=\mu_ {1}| u|^{2^{\ast}-2} u+\frac {\alpha\gamma}{2 …
Positive ground state solutions for fractional Laplacian system with one critical exponent and one subcritical exponent
M Zhen, J He, H Xu, M Yang - arXiv preprint arXiv:1812.02977, 2018 - arxiv.org
In this paper, we consider the following fractional Laplacian system with one critical
exponent and one subcritical exponent\begin {equation*}\begin {cases}(-\Delta)^{s} u+\mu …
exponent and one subcritical exponent\begin {equation*}\begin {cases}(-\Delta)^{s} u+\mu …
Positive solutions for a class of multi-parameter elliptic systems
X Cheng, Z Zhang - Nonlinear Analysis: Real World Applications, 2013 - Elsevier
In this paper, we deal with the global existence of positive solutions for a multi-parameter
system of second-order elliptic equations with respect to parameters, by using the fixed point …
system of second-order elliptic equations with respect to parameters, by using the fixed point …
Three positive solutions for semilinear elliptic problems involving concave and convex nonlinearities
TS Hsu, H Lin - Proceedings of the Royal Society of Edinburgh …, 2012 - cambridge.org
We study the existence and multiplicity of positive solutions for the Dirichlet problemwhere
λ> 0, 1< q< 2, p= 2*= 2N/(N− 2), 0 ε Ω⊂ ℝN, N≥ 3, is a bounded domain with smooth …
λ> 0, 1< q< 2, p= 2*= 2N/(N− 2), 0 ε Ω⊂ ℝN, N≥ 3, is a bounded domain with smooth …
Multiple positive solutions for nonlinear coupled fractional Laplacian system with critical exponent
M Zhen, J He, H Xu, M Yang - Boundary Value Problems, 2018 - Springer
In this paper, we study the following critical system with fractional Laplacian:{(− Δ) su+ λ 1 u=
μ 1| u| 2∗− 2 u+ α γ 2∗| u| α− 2 u| v| β in Ω,(− Δ) sv+ λ 2 v= μ 2| v| 2∗− 2 v+ β γ 2∗| u| α| v| β …
μ 1| u| 2∗− 2 u+ α γ 2∗| u| α− 2 u| v| β in Ω,(− Δ) sv+ λ 2 v= μ 2| v| 2∗− 2 v+ β γ 2∗| u| α| v| β …
Multiple solutions for a class of (p, q)-gradient elliptic systems via a fibering method
J Vélin - Proceedings of the Royal Society of Edinburgh Section …, 2014 - cambridge.org
Multiple solutions for a class of (p, q)-gradient elliptic systems via a fibering method Page 1
Proceedings of the Royal Society of Edinburgh, 144A, 363–393, 2014 Multiple solutions for …
Proceedings of the Royal Society of Edinburgh, 144A, 363–393, 2014 Multiple solutions for …