Results 101 to 110 of about 4,486,095 (208)

On multiple solutions of the exterior neumann problem involving critical sobolev exponent

, 2005
In this paper we consider the exterior Neumann problem involving a critical Sobolev exponent.
Chabrowski, Jan, Willem, Michael, Chabrowski, J, Chabrowski, J., Willem, M., Willem, Michel   +5 more
core  

Existence and multiplicity of solutions for a discontinuous problems with critical Sobolev exponents

Journal of Mathematical Analysis and Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

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

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

Solutions for quasilinear elliptic problems with critical Sobolev–Hardy exponents

Journal of Mathematical Analysis and Applications, 2004
The author considers the following quasilinear elliptic problem: \[ \begin{gathered} -\Delta_p u+|u|^{p- 2}u= {|u|^{p_*(s)- 2}\over |x|^2} u+ f(u),\quad x\in\mathbb{R}^N,\\ u\to 0\quad \text{as }|x|\to +\infty,\end{gathered}\tag{1} \] where \(N\geq 3\), \(2< p< N\), \(0\leq s< p\) and \(p_*(s):= {p(N- s)\over N-p}\) is the critical Sobolev-Hardy ...
openaire   +2 more sources

On the nonlinear Neumann problem involving the critical Sobolev exponent on the boundary

Journal of Mathematical Analysis and Applications, 2004
This paper concerns the nonlinear Neumann problem \[ -\Delta u=Q(x)| u| ^{2^*-2}u\quad \text{in }\Omega, \] \[ \frac{\partial}{\partial\nu}u(x)=P(x)| u| ^{q-2}u\quad\text{on }\partial\Omega,\qquad u>0\quad\text{on }\Omega, \] where \(\Omega\) is a bounded domain in \(\mathbb{R}^N\) with a smooth boundary \(\partial\Omega\), \(\nu\) is the outward ...
openaire   +4 more sources

Minimizers and symmetric minimizers for problems with critical Sobolev exponent

, 2008
In this paper we will be concerned with the existence and non-existence of constrained minimizers in Sobolev spaces $D^{k,p}({\mathbb R}^N)$, where the constraint involves the critical Sobolev exponent.
Waliullah, Shoyeb
core  

Multiplicity results for nonlinear elliptic equations involving critical Sobolev exponent

, 1986
SynopsisIn this paper we study the following boundary value problemwhere Ω is a bounded domain in Rn, n≧3, x ∈Rn, p* = 2n/(n – 2) is the critical exponent for the Sobolev embedding is a real parameter and f(x, t) increases, at infinity, more slowly than .
A. Capozzi, G. Palmieri
core   +1 more source

Multiple positive solutions for degenerate elliptic equations with critical cone Sobolev exponents on singular manifolds

Electronic Journal of Differential Equations, 2013
In this article, we show the existence of multiple positive solutions to a class of degenerate elliptic equations involving critical cone Sobolev exponent and sign-changing weight function on singular manifolds with the help of category theory and the
Haining Fan, Xiaochun Liu
doaj  

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

Du Bois-Reymond Type Lemma and Its Application to Dirichlet Problem with the p(t)-Laplacian on a Bounded Time Scale. [PDF]

Entropy (Basel), 2021
Mawhin J, Skrzypek E, Szymańska-Dȩbowska K.   +2 more
europepmc   +1 more source