Results 161 to 170 of about 13,900 (197)
Some of the next articles are maybe not open access.
The critical Sobolev exponent in two dimensions
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1988SynopsisThe 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
openaire +2 more sources
Generalized Lyapunov inequalities involving critical Sobolev exponents
Siberian Mathematical Journal, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kwon, H. J., Timoshin, S. A.
openaire +1 more source
The Critical Exponent for Weighted Sobolev Imbeddings
Acta Applicandae Mathematica, 2001The 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 ...
openaire +2 more sources
A Neumann problem with critical Sobolev exponent
1991Mathematics Technical ...
Comte, Myriam, Tarantello, Gabriella
openaire +2 more sources
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
openaire +1 more source
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
openaire +2 more sources
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
openaire +2 more sources
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
openaire +3 more sources
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
openaire +1 more source
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
openaire +2 more sources