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On the fractional Lazer-McKenna conjecture with critical growth
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2021This paper deals with the following fractional elliptic equation with critical exponent \[ \begin{cases} \displaystyle (-\Delta )^{s}u=u_{+}^{2_{s}^{*}-1}+\lambda u-\bar{\nu}\varphi_{1}, & \text{in}\ \Omega,\\ \displaystyle u=0, & \text{in}\ {{\mathfrak R}}^{N}\backslash \Omega, \end{cases}\] where $\lambda$, $\bar {\nu }\in {{\mathfrak R ...
Li, Qi, Peng, Shuangjie
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Mader’s Conjecture On Extremely Critical Graphs
Combinatorica, 2006A non-complete graph G is called an (n,k)-graph if it is n-connected but G—X is not (n−|X|+1)-connected for any X ⊂ V (G) with |X|≤k. Mader conjectured that for k≥3 the graph K2k+2−(1−factor) is the unique (2k,k)-graph(up to isomorphism).Here we prove this conjecture.
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All My Favorite Conjectures Are Critical
2016My favorite graph theory conjectures involve the effects of edge removal on the diameter of a graph and the effects of edge addition on the domination and total domination numbers of a graph. Loosely speaking, “criticality” means that the value of the parameter in question always changes under the graph modification.
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Lazer-McKenna Conjecture for fractional problems involving critical growth
Journal of Differential EquationszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Benniao Li, Wei Long, Zhongwei Tang
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The rise and fall of the critical graph conjecture
Journal of Graph Theory, 1983AbstractIn this expository paper we discuss the critical graph conjecture and its eventual disproof by M.K. Goldberg and others.
Chetwynd, Amanda G., Wilson, Robin J.
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The Sitz im Leben of Holwerda’s New Testament Conjectural Criticism
Bart L.F. Kamphuis
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APPENDIX II. THE CONJECTURAL TEXTUAL CRITICISM AND HIGHER CRITICISM OF THE TEXT OP ZEPHANIAH
Sidney Zandstra
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Conjectural criticism in scholiastic corpora: the case of the Iliad scholia
Lara Pagani
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