Results 181 to 190 of about 4,486,095 (208)

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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A Neumann problem with critical Sobolev exponent

2018
Mathematics Technical ...
Comte, Myriam, Tarantello, Gabriella
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On Elliptic System Involving Critical Sobolev Exponent and Weights

Mediterranean Journal of Mathematics, 2013
From the authors' abstract: This paper is devoted to the existence and nonexistence of positive solutions for a semilinear elliptic system involving critical Sobolev exponent and weights. We study the effect of the behavior of weights near their minima on the existence of solutions for the considered problem.
Bouchekif, Mohammed, Hamzaoui, Yamina
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p-Laplacian problems with critical Sobolev exponent

Asymptotic Analysis, 2011
We use variational methods to study the asymptotic behavior of solutions of p-Laplacian problems with nearly subcritical non-linearity in general, possibly non-smooth, bounded domains.
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A quasilinear elliptic problem involving critical Sobolev exponents

Collectanea Mathematica, 2014
The authors study a quasilinear elliptic equation of the form \[ \begin{cases} -\Delta_p u = |u|^{p^*-2}u+g(u), & \text{in } \Omega,\\ u=0, & \text{on }\partial \Omega, \end{cases} \] where \(\Omega\) is a bounded domain of \(\mathbb{R}^N\) with smooth boundary \(\partial\Omega\), \(1 < p < N\), \(\Delta_p\) is the \(p\)-Laplace operator, that is ...
FARACI, FRANCESCA, FARKAS Cs
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Existence of solutions for elliptic equations with critical Sobolev–Hardy exponents

Nonlinear Analysis: Theory, Methods & Applications, 2004
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Kang, Dongsheng, Peng, Shuangjie
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On Kirchhoff type equations with critical Sobolev exponent

Journal of Mathematical Analysis and Applications, 2018
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Yisheng Huang, Zeng Liu, Yuanze Wu
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A minimization problem on RN involving critical Sobolev exponent

Nonlinear Analysis: Theory, Methods & Applications, 1992
The authors develop some technical ideas in order to treat the minimization problem: \[ \inf\left\{\int_{R^ N} a_{ij}(u)D_ i uD_ j u\left| u\in{\mathcal D}^{1,2}(R^ N),\right.\int_{R^ N}| u|^{2^*}=1\right\}, \] where \(2^*=2N/(N-2)\), \(N\geq 3\). By analysing carefully the minimizing sequence, the authors define the corresponding minimization problem ...
Yan, Shusen, Zhang, Zhengjie
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Normalized Solutions of the Choquard Equation with Sobolev Critical Exponent

Frontiers of Mathematics
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Feng, Xiaojing, Li, Yuhua
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On the elliptic problems with critical weighted Sobolev–Hardy exponents

Nonlinear Analysis: Theory, Methods & Applications, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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