Results 111 to 120 of about 4,702,923 (209)

An existence result for elliptic problems with singular critical growth

Electronic Journal of Differential Equations, 2007
We prove the existence of nontrivial solutions for the singular critical problem $$ -Delta u-mu frac{u}{|x|^{2}}=lambda f(x)u+u^{2^{ast }-1} $$ with Dirichlet boundary conditions.
Yasmina Nasri
doaj  

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

Multiple positive solutions for a critical elliptic problem with concave and convex nonlinearities

Electronic Journal of Differential Equations, 2014
In this article, we study the multiplicity of positive solutions for a semi-linear elliptic problem involving critical Sobolev exponent and concave-convex nonlinearities. With the help of Nehari manifold and Ljusternik-Schnirelmann category, we prove
Haining Fan
doaj  

Multiple positive solutions for equations involving critical Sobolev exponent in R^N

Electronic Journal of Differential Equations, 1997
$$ -{ m div }(|abla u|^{m-2}abla u) = lambda h u^q+u^{m^*-1},quad{ m in}quad R^N,. $$ Using the Ekeland Variational Principle and the Mountain Pass Theorem, we show the existence of $lambda ^*>0$ such that there are at least two non-negative solutions ...
Claudianor Oliveira Alves
doaj  

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  

Echo Chains as a Linear Mechanism: Norm Inflation, Modified Exponents and Asymptotics. [PDF]

Arch Ration Mech Anal, 2021
Deng Y, Zillinger C.
europepmc   +1 more source

Stability in Quasineutral Plasmas with Thermalized Electrons. [PDF]

Ann PDE
Griffin-Pickering M, Iacobelli M.
europepmc   +1 more source

Spatial-temporal correlations in the speckle pattern for the characterization of cellular motion within a 3D object. [PDF]

Biomed Opt Express, 2023
Weil Y, Shafran Y, Sobolev M, Afrimzon E, Zurgil N, Deutsch M, Schiffer Z.   +6 more
europepmc   +1 more source

Improved quasi-invariance result for the periodic Benjamin-Ono-BBM equation. [PDF]

J Evol Equ
Forlano J.
europepmc   +1 more source

Existence of solutions to fractional equations with Hardy potential on compact Riemannian manifolds

Electronic Journal of Differential Equations
In this article, we study a fractional Laplace equation on a compact Riemannian manifold involving a Hardy potential and a nonlinearity with critical exponent, $$ (-\Delta_g)^s u - \mu \frac{u}{d_g(x, x_0)^{2s}} = \lambda f(x)|u|^{p-2}u + k(x) |u|^{2_s^
Shengbing Deng, Fanyun Li
doaj