Results 141 to 150 of about 406 (185)

On the Kirchhoff problems involving critical Sobolev exponent

Applied Mathematics Letters, 2020
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Weihong Xie, Haibo Chen 0007
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-Laplacian problems with critical Sobolev exponents

Nonlinear Analysis: Theory, Methods & Applications, 2007
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Perera, Kanishka, Silva, Elves A. B.
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On the p-biharmonic operator with critical Sobolev exponent

Applicationes Mathematicae, 2014
Summary: We study the existence of solutions for a \(p\)-biharmonic problem with a critical Sobolev exponent and Navier boundary conditions, using variational arguments. We establish the existence of a precise interval of parameters for which our problem admits a nontrivial solution.
El Khalil, Abdelouahed, Alaoui, My Driss Morchid, Touzani, Abdelfattah   +2 more
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Extrema problems with critical sobolev exponents on unbounded domains

Nonlinear Analysis: Theory, Methods & Applications, 1996
The paper is concerned with the problem of minimizing \(\int_\Omega |\nabla u |^p+a |u |^q\) on the set \(\{u \in {\mathcal D}_0^{1,p} (\Omega):\int_\Omega |u |^{p*}=1\}\).
Ben-Naoum, Abdel Kouider, Troestler, Christophe, Willem, Michel   +2 more
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The Critical Exponent for Weighted Sobolev Imbeddings

Acta Applicandae Mathematica, 2001
The critical exponent \(p^*\) is defined for the Hardy inequality \[ \Biggl(\int^R_0|u(r)|^q Q(r) dr\Biggr)^{1/q}\leq C\Biggl(\int^R_0|u'(r)|^p P(r) dr\Biggr)^{1/p},\tag{2.5} \] defining an imbedding from a weighted Sobolev space \(V\) with weight \(P(r)\) into the weighted Lebesgue space \(L^q(0,R;Q)\) with weight \(Q(r)\), and it is shown that this ...
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Critical exponents of weighted Sobolev embeddings for radial functions

Applied Mathematics Letters, 2020
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Cong Wang 0029, Jiabao Su
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The critical Sobolev exponent in two dimensions

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1988
SynopsisThe object of the paper is to investigate solutions of equations of the formwithand in particular to look at the asymptotic behaviour of these solutions as γ ↑∞. It is found that, if tγ is the first zero of ϑ, thenwhile tγ is bounded below if p < 2.
McLeod, Bryce, McLeod, Kevin
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Quasilinear Elliptic Systems Involving Critical Hardy–Sobolev and Sobolev Exponents

Bulletin of the Malaysian Mathematical Sciences Society, 2015
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Kang, Dongsheng, Kang, Yangguang
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A Neumann problem with critical Sobolev exponent

2018
Mathematics Technical ...
Comte, Myriam, Tarantello, Gabriella
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Existence of critical points for noncoercive functionals with critical Sobolev exponent

Applicable Analysis, 2021
We consider the following noncoercive functional with the critical Sobolev exponent I(u)=12∫Ω1(1+|u|)2α|∇u|2dx−λq∫Ω|u|qdx−12∗(1−α)∫Ω|u|2∗(1−α)dx, where λ>0 ...
Zhouxin Li, Xiang Yuan, Qi Zhang
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