Results 181 to 190 of about 4,702,923 (209)

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
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Schrödinger‐Poisson system with Hardy‐Littlewood‐Sobolev critical exponent

Mathematical Methods in the Applied Sciences, 2019
In 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 Hamiltonian systems with critical Sobolev exponents

2022
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On Nonlocal Choquard Equations With Hardy–Littlewood–Sobolev Critical Exponents

Journal of Mathematical Analysis and Applications, 2017
Minbo Yang, Fashun Gao
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