Results 81 to 90 of about 1,238 (226)

Existence of solutions for elliptic systems with critical Sobolev exponent

Electronic Journal of Differential Equations, 2002
We establish conditions for existence and for nonexistence of nontrivial solutions to an elliptic system of partial differential equations. This system is of gradient type and has a nonlinearity with critical growth.
Pablo Amster, Pablo De Napoli, Maria Cristina Mariani   +2 more
doaj  

Regression in tensor product spaces by the method of sieves. [PDF]

Electron J Stat, 2023
Zhang T, Simon N.
europepmc   +1 more source

On Elliptic Systems involving critical Hardy-Sobolev exponents

, 2015
98 ...
Zhong, Xuexiu, Zou, Wenming
openaire   +2 more sources

Problem With Critical Sobolev Exponent and With Potential on SN

Journal of Applied Mathematics
We consider the equation −divSNqx∇Snu=u2∗−1,u>0 in D’, u=0 on D′, where D′ is a geodesic ball with radius θ1, centered at the north pole, on SN, N≥4, and q is a positive continuous function.
Walid Refai, Habib Yazidi
doaj   +1 more source

On nonhomogeneous elliptic equations involving critical Sobolev exponent

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 1992
Let p = \frac{2\:\mathrm{N}}{\mathrm{N}−2} , \mathrm{N} ≧ 3 be the limiting Sobolev exponent and Ω\subset ℝ^{\mathrm{N}} open bounded set.
openaire   +2 more sources

Existence of solutions for stress-rate type strain-limiting viscoelasticity in Gevrey spaces. [PDF]

Philos Trans A Math Phys Eng Sci, 2023
Bachmann L, De Anna F, Schlömerkemper A, Şengül Y.   +3 more
europepmc   +1 more source

On the Sobolev trace Theorem for variable exponent spaces in the critical range [PDF]

, 2013
Julián Fernández Bonder, Nicolas Saintier, Analía Silva   +2 more
openalex   +1 more source

Existence Results for Neumann Problem with Critical Sobolev–Hardy Exponent and Choquard-Type Nonlinearity

Fractal and Fractional
We consider a Neumann problem for the fractional Laplacian involving a nonlocal Choquard-type nonlinearity and Sobolev–Hardy exponent. Under suitable assumptions on the data and using the Nehari manifold method, we discuss the existence problem in ...
Zhenfeng Zhang, Calogero Vetro, Tianqing An, Wei Chen   +3 more
doaj   +1 more source

Spikes of the two-component elliptic system in $\bbr^4$ with Sobolev critical exponent [PDF]

, 2018
Yuanze Wu, Wenming Zou
openalex   +1 more source

Multiple solutions for a fractional $p$-Kirchhoff problem with subcritical and critical Hardy-Sobolev exponent [PDF]

, 2018
Hadi Mirzaee
openalex   +1 more source