Results 31 to 40 of about 2,421 (92)
New existence results for the mean field equation on compact surfaces via degree theory [PDF]
, 2014 We consider a class of equations with exponential non-linearities on a compact surface which arises as the mean field equation of the equilibrium turbulence with arbitrarily signed vortices. We prove an existence result via degree theory. This yields new
Jevnikar, Aleks
core
Mañé's conjectures in codimension one [PDF]
Communications on Pure and Applied Mathematics, Volume 64, Issue 7
(2011) Pages 1008-1027, 2010 We prove Ma\~n\'e's conjectures in the context of codimension one Aubry-Mather ...
arxiv +1 more source
Nonlocal eigenvalue problems with variable exponent
Moroccan Journal of Pure and Applied Analysis, 2018 We consider the nonlocal eigenvalue problem of the following ...
Azroul Elhoussine, Shimi Mohammed
doaj +1 more source
On certain nonlinear elliptic systems with indefinite terms
Electronic Journal of Differential Equations, 2002 We consider an elliptic quasi linear systems with indefinite term on a bounded domain. Under suitable conditions, existence and positivity results for solutions are given. Submitted April 2, 2002. Published October 2, 2002.
Ahmed Bensedik, Mohammed Bouchekif
doaj
Solutions to a modified gauged Schrödinger equation with Choquard type nonlinearity
Open Mathematics, 2023 In this article, we study the following quasilinear Schrödinger equation: −Δu+V(∣x∣)u−κuΔ(u2)+qh2(∣x∣)∣x∣2(1+κu2)u+q∫∣x∣+∞h(s)s(2+κu2(s))u2(s)dsu=(Iα∗∣u∣p)∣u∣p−2u,x∈R2,-\Delta u+V\left(| x| )u-\kappa u\Delta \left({u}^{2})+q\frac{{h}^{2}\left(| x| )}{| x\
Xiao Yingying +3 more
doaj +1 more source
Elliptic equations with one-sided critical growth
Electronic Journal of Differential Equations, 2002 We consider elliptic equations in bounded domains $Omegasubset mathbb{R}^N $ with nonlinearities which have critical growth at $+infty$ and linear growth $lambda$ at $-infty$, with $lambda > lambda_1$, the first eigenvalue of the Laplacian. We prove that
Marta Calanchi, Bernhard Ruf
doaj
Convex hypersurfaces with prescribed Musielak-Orlicz-Gauss image measure
Advanced Nonlinear Studies, 2023 In this article, we study the Musielak-Orlicz-Gauss image problem based on the Gauss curvature flow in Li et al. We deal with some cases in which there is no uniform estimate for the Gauss curvature flow.
Li Qi-Rui, Yi Caihong
doaj +1 more source
Existence and nonexistence of solutions for elliptic problems with multiple critical exponents
Open Mathematics, 2023 In this article, the existence and nonexistence of solutions for the quasilinear elliptic equations involving multiple critical terms under Dirichlet boundary conditions on bounded smooth domains Ω⊂RN(N≥3)\Omega \subset {R}^{N}(N\ge 3) are proved by ...
Li Yuanyuan
doaj +1 more source
Liouville Type Theorem For A Nonlinear Neumann Problem [PDF]
, 2016 Consider the following nonlinear Neumann problem \[ \begin{cases} \text{div}\left(y^{a}\nabla u(x,y)\right)=0, & \text{for }(x,y)\in\mathbb{R}_{+}^{n+1}\\ \lim_{y\rightarrow0+}y^{a}\frac{\partial u}{\partial y}=-f(u), & \text{on }\partial\mathbb{R}_ ...
Xiang, Changlin
core
Advances in Nonlinear Analysis, 2020 We are concerned with the following quasilinear elliptic ...
Fang Xiangdong, Zhang Jianjun
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