Results 81 to 90 of about 4,702,923 (209)
Boundary Value Problems, 2019 In this paper, we study a fractional Kirchhoff type equation with Hardy–Littlewood–Sobolev critical exponent. By using variational methods, we obtain the existence of mountain-pass type solution and negative energy solutions.
Jichao Wang, Jian Zhang, Yujun Cui
doaj +1 more source
Sign Changing Solutions for Coupled Critical Elliptic Equations
Journal of Function Spaces, 2020 In this paper, we consider the coupled elliptic system with a Sobolev critical exponent.
Xin Wang, Xiaorui Yue
doaj +1 more source
Study of positive solutions to semilinear elliptic problems with critical exponent
, 2009 Se realizó un estudio caracterizando el tipo soluciones a un problema elíptico semilineal con exponente crítico a partir de la revisión de conceptos básicos del cálculo variacional y de la teoría de exponente crítico de Sobolev, explorando algunas ...
Murcia Pardo, Sandra Milena
core
Variable exponent Sobolev spaces associated with Jacobi expansions [PDF]
, 2016 In this paper we define variable exponent Sobolev spaces associated with Jacobi expansions. We prove that our generalized Sobolev spaces can be characterized as variable exponent potential spaces and as variable exponent Triebel-Lizorkin type spaces ...
Jorge J. Betancor +14 more
core +1 more source
On Dirac equation with a potential and critical Sobolev exponent
Communications on Pure and Applied Analysis, 2015 The authors consider a Dirac equation with a nonlinear zero order term and additional potential on a closed spin manifold. The nonlinearity is critical in the sense of Sobolev embedding -- analogously to the nonlinearity of the Yamabe equation. They prove existence of solutions under some mild assumption on the spectrum of the Dirac operator with ...
Gong, Wenmin, Lu, Guangcun
openaire +2 more sources
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 +5 more
core
Infinitely many positive solutions for p-Laplacian equations with singular and critical growth terms
Boundary Value ProblemsIn this paper, we study the existence of multiple solutions for the following nonlinear elliptic problem of p-Laplacian type involving a singularity and a critical Sobolev exponent { − Δ p u = u p ∗ − 1 + λ | u | γ − 1 u , in Ω , u = 0 , on ∂ Ω ...
Chen-Xi Wang, Hong-Min Suo
doaj +1 more source
Non-homogeneous problem for fractional Laplacian involving critical Sobolev exponent
Electronic Journal of Differential Equations, 2017 In this article, we study the existence of positive solutions for the nonhomogeneous fractional equation involving critical Sobolev exponent $$\displaylines{ (-\Delta)^{s} u +\lambda u=u^p+\mu f(x), \quad u>0\quad \text{in } \Omega,\cr u =0, \quad \
Kun Cheng, Li Wang
doaj
Normalized solutions to a quasilinear equation involving critical Sobolev exponent [PDF]
In this paper we study the existence and regularity results of normalized solutions to the following quasilinear elliptic Choquard equation with critical Sobolev exponent and mixed diffusion type operators: \begin{equation*} \begin{array}{rcl} -Δ_p
Nidhi, Sreenadh, K.
core
Nonhomogeneous elliptic equations involving critical Sobolev exponent and weight
Electronic Journal of Differential Equations, 2016 In this article we consider the problem $$\displaylines{ -\hbox{div}\big(p(x)\nabla u\big)=|u|^{2^{*}-2}u+\lambda f\quad \text{in }\Omega \cr u=0 \quad \text{on }\partial\Omega }$$ where $\Omega$ is a bounded domain in $\mathbb{R}^N$, We study ...
Mohammed Bouchekif, Ali Rimouche
doaj