Results 191 to 200 of about 1,238 (226)
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A Neumann problem with critical Sobolev exponent
1991Mathematics Technical ...
Comte, Myriam, Tarantello, Gabriella
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Quasilinear elliptic equations involving critical Sobolev exponents
Nonlinear Analysis: Theory, Methods & Applications, 1989Let \(G\) be a bounded open subset of \(\mathbb R^ N\) with \(C^ 2\) boundary ...
Guedda, Mohammed, Véron, Laurent
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Schrödinger‐Poisson system with Hardy‐Littlewood‐Sobolev critical exponent
Mathematical Methods in the Applied Sciences, 2019In this paper, we consider the following Schrödinger‐Poisson system: urn:x-wiley:mma:media:mma5694:mma5694-math-0001 where parameters α,β∈(0,3),λ>0, , , and are the Hardy‐Littlewood‐Sobolev critical exponents. For α<β and λ>0, we prove the existence of nonnegative groundstate solution to above system.
Yu Su, Li Wang, Tao Han
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On Elliptic System Involving Critical Sobolev Exponent and Weights
Mediterranean Journal of Mathematics, 2013From 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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Extrema problems with critical sobolev exponents on unbounded domains
Nonlinear Analysis: Theory, Methods & Applications, 1996The 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, A. K. +2 more
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On the Kirchhoff problems involving critical Sobolev exponent
Applied Mathematics Letters, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Weihong Xie, Haibo Chen
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On Nonlocal Choquard System with Hardy–Littlewood–Sobolev Critical Exponents
The Journal of Geometric Analysis, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luo, Xiaorong, Mao, Anmin, Mo, Shuai
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On the p-biharmonic operator with critical Sobolev exponent
Applicationes Mathematicae, 2014Summary: 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 +2 more
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Semilinear elliptic equations involving critical Sobolev exponents
Archive for Rational Mechanics and Analysis, 1988The author considers the semilinear elliptic boundary value problem with variable coefficients: \(Eu=bu^ p+\lambda hu\) in \(\Omega\), \(u>0\) in \(\Omega\) and \(u=0\) on \(\partial \Omega\), where \(Eu\equiv -\partial_ i(a_{ij} \partial_ ju)\) is a symmetric uniformly elliptic operator, b and h are nonnegative nontrivial bounded functions ...
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A minimization problem on RN involving critical Sobolev exponent
Nonlinear Analysis: Theory, Methods & Applications, 1992The 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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