Results 41 to 50 of about 1,563 (106)

Existence of solitary waves in dipolar quantum gases

, 2010
We study a nonlinear Schroedinger equation arising in the mean-field description of dipolar quantum gases. Under the assumption of sufficiently strong dipolar interactions, the existence of standing waves, and hence solitons, is proved together with some
Antonelli, Paolo, Sparber, Christof
core   +1 more source

On a class of semilinear elliptic problems near critical growth

International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 2, Page 321-330, 1998., 1997
We use Minimax Methods and explore compact embedddings in the context of Orlicz and Orlicz‐Sobolev spaces to get existence of weak solutions on a class of semilinear elliptic equations with nonlinearities near critical growth. We consider both biharmonic equations with Navier boundary conditions and Laplacian equations with Dirichlet boundary ...
J. V. Goncalves, S. Meira
wiley   +1 more source

Bifurcation and multiplicity results for critical problems involving the p-Grushin operator

Advances in Nonlinear Analysis
In this article, we prove a bifurcation and multiplicity result for a critical problem involving a degenerate nonlinear operator Δγp{\Delta }_{\gamma }^{p}. We extend to a generic p>1p\gt 1 a result, which was proved only when p=2p=2. When p≠2p\ne 2, the
Malanchini Paolo, Bisci Giovanni Molica, Secchi Simone   +2 more
doaj   +1 more source

On a nonlinear elliptic problems having large monotonocity with L1-data in weighted Orlicz-Sobolev spaces

Moroccan Journal of Pure and Applied Analysis, 2019
We prove in weighted Orlicz-Sobolev spaces, the existence of entropy solution for a class of nonlinear elliptic equations of Leray-Lions type, with large monotonicity condition and right hand side f ∈ L1(Ω).
Haji Badr El, Moumni Mostafa El, Kouhaila Khaled   +2 more
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  

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  

Infinitely many solutions for a class of Kirchhoff-type equations

Open Mathematics
In this article, we consider a class of Kirchhoff-type equations: −a+b∫Ω∣∇u∣2dxΔu=f(x,u),x∈Ω,u=0,x∈∂Ω.\left\{\begin{array}{ll}-\left(a+b\mathop{\displaystyle \int }\limits_{\Omega }{| \nabla u| }^{2}{\rm{d}}x\right)\Delta u=f\left(x,u),\hspace{1.0em}& x ...
Zhou Qin, Zeng Jing
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  

An elliptic problem involving critical Choquard and singular discontinuous nonlinearity

Advanced Nonlinear Studies
The present article investigates the existence, multiplicity and regularity of weak solutions of problem involving a combination of critical Hartree-type nonlinearity along with singular and discontinuous nonlinearities (see (Pλ) $\left({\mathcal{P}}_ ...
Anthal Gurdev Chand, Giacomoni Jacques, Sreenadh Konijeti   +2 more
doaj   +1 more source

Multiple positive solutions for a class of concave-convex Schrödinger-Poisson-Slater equations with critical exponent

Advances in Nonlinear Analysis
In this article, we consider the multiplicity of positive solutions for a static Schrödinger-Poisson-Slater equation of the type −Δu+u2∗1∣4πx∣u=μf(x)∣u∣p−2u+g(x)∣u∣4uinR3,-\Delta u+\left({u}^{2}\ast \frac{1}{| 4\pi x| }\right)u=\mu f\left(x){| u| }^{p-2 ...
Zheng Tian-Tian, Lei Chun-Yu, Liao Jia-Feng   +2 more
doaj   +1 more source