Results 101 to 110 of about 406 (185)

On the Critical-Subcritical Moments of Moments of Random Characteristic Polynomials: A GMC Perspective. [PDF]

Commun Math Phys, 2022
Keating JP, Wong MD.
europepmc   +1 more source

Bifurcation of positive solutions for a semilinear equation with critical Sobolev exponent

Electronic Journal of Differential Equations, 2006
In this note we consider bifurcation of positive solutions to the semilinear elliptic boundary-value problem with critical Sobolev exponent $$displaylines{ -Delta u = lambda u - alpha u^p+ u^{2^*-1}, quad u >0 , quad hbox{in } Omega,cr u=0, quad hbox ...
Yuanji Cheng
doaj  

Multiplicity results for nonlinear elliptic equations

Electronic Journal of Differential Equations, 2006
Let $Omega$ be a bounded domain in $mathbb{R}^{N}$, $Ngeq 3$, and $p=frac{2N}{N-2}$ the limiting Sobolev exponent. We show that for $fin H^1_0(Omega)^ast$, satisfying suitable conditions, the nonlinear elliptic problem $$displaylines{ -Delta u =|u |^{ p ...
Samira Benmouloud, Mostafa Khiddi, Simohammed Sbai   +2 more
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  

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  

A posteriori error approximation in discontinuous Galerkin method on polygonal meshes in elliptic problems. [PDF]

Sci Rep, 2023
Jaśkowiec J, Pamin J.
europepmc   +1 more source

Non Uniqueness of Power-Law Flows. [PDF]

Commun Math Phys, 2021
Burczak J, Modena S, Székelyhidi L.
europepmc   +1 more source

Foundational issues, analysis and geometry in continuum mechanics: introduction. [PDF]

Philos Trans A Math Phys Eng Sci, 2023
Mariano PM, Schlömerkemper A.
europepmc   +1 more source

Finite Time Blow-Up for the Hypodissipative Navier Stokes Equations with a Force in L t 1 C x 1 , ϵ ∩ L t ∞ L x 2 . [PDF]

Arch Ration Mech Anal
Córdoba D, Martínez-Zoroa L, Zheng F.
europepmc   +1 more source

Parabolic-elliptic and indirect-direct simplifications in chemotaxis systems driven by indirect signalling. [PDF]

Calc Var Partial Differ Equ
Bui LTT, Huynh TKL, Tang BQ, Tran BN.
europepmc   +1 more source