Results 101 to 110 of about 4,702,923 (209)

Non-Newton filtration equation with nonconstant medium void and critical Sobolev exponent

, 2004
In this paper we consider the existence and asymptotic estimates of global solutions and finite time blowup of local solutions of quasilinear parabolic equation with critical Sobolev exponent and with lower energy initial value; we also describe the ...
Liu, XG, 谭忠, Tan, Z
core  

On a singular Neumann problem for semilinear elliptic equations with critical Sobolev exponent and lower order terms

, 2007
We investigate the solvability of the Neumann problem involving the critical Sobolev exponent, the Hardy potential and a nonlinear term of lower order.
Chabrowski, J.
core   +1 more source

Multiplicity of solutions to the sum of polyharmonic equations with critical Sobolev exponents

Electronic Journal of Differential Equations, 2015
In this article, we prove multiplicity of solutions for the sum of polyharmonic equation with critical Sobolev exponent. The proof is based upon the methods of weakly lower semi-continuous of the functionals and the Mountain Pass Lemma without (PS ...
Wei Liu, Gao Jia, Lu-Quian Guo
doaj  

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

Journal of Mathematical Analysis and Applications, 2012
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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

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

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

Minimizers and symmetric minimizers for problems with critical Sobolev exponent

, 2009
In this paper we will be concerned with the existence and non-existence of constrained minimizers in Sobolev spaces $\dkp(\real^N)$, where the constraint involves the critical Sobolev exponent. Minimizing sequences are not, in general, relatively compact
Waliullah, Shoyeb,
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