Results 41 to 50 of about 1,690 (115)

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

Ground States for a nonlinear Schr\"odinger system with sublinear coupling terms

, 2015
We study the existence of ground states for the coupled Schr\"odinger system \begin{equation} \left\{\begin{array}{lll} \displaystyle -\Delta u_i+\lambda_i u_i= \mu_i |u_i|^{2q-2}u_i+\sum_{j\neq i}b_{ij} |u_j|^q|u_i|^{q-2}u_i \\ u_i\in H^1(\mathbb{R}^n)
Oliveira, Filipe, Tavares, Hugo
core   +1 more source

Multiple solutions for nonlinear discontinuous strongly resonant elliptic problems

Abstract and Applied Analysis, Volume 5, Issue 2, Page 119-135, 2000., 2000
We consider quasilinear strongly resonant problems with discontinuous right‐hand side. To develop an existence theory we pass to a multivalued problem by, roughly speaking, filling in the gaps at the discontinuity points. We prove the existence of at least three nontrivial solutions.
Nikolaos C. Kourogenis, Nikolaos S. Papageorgiou   +1 more
wiley   +1 more source

Weighted Sobolev spaces and ground state solutions for quasilinear elliptic problems with unbounded and decaying potentials

, 2013
In this paper, we prove some continuous and compact embedding theorems for weighted Sobolev spaces, and consider both a general framework and spaces of radially symmetric functions.
Guoqing Zhang
semanticscholar   +1 more source

Existence of Multiple Solutions for Certain Quasilinear Elliptic Problems Under Flux Boundary Conditions

Journal of Mathematics, Volume 2024, Issue 1, 2024.
In this paper, we consider the following quasilinear p⟶⋅‐elliptic problems with flux boundary conditions of the type −∑i=1N∂/∂xiaix,∂u/∂xi+bxupMx−2u=f1x,u−sgnug1x in Ω,∑i=1Naix,∂u/∂xiνi=cxuqx−2u+f2x,u−sgnug2x on ∂Ω.. Using the Fountain theorem and dual Fountain theorem, we prove the existence and multiplicity of solutions for a given problem, subject ...
Ahmed Ahmed, Taghi Ahmedatt, Yongqiang Fu   +2 more
wiley   +1 more source

Semi-classical solutions of perturbed elliptic system with general superlinear nonlinearity

, 2014
This paper is concerned with the following perturbed elliptic system: −ε2△u+V(x)u=Wv(x,u,v), x∈RN, −ε2△v+V(x)v=Wu(x,u,v), x∈RN, u,v∈H1(RN), where V∈C(RN,R) and W∈C1(RN×R2,R).
F. Liao, Xianhua Tang, Jian Zhang, Dongdong Qin   +3 more
semanticscholar   +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

Ground states for Schrödinger-Poisson system with zero mass and the Coulomb critical exponent

Advances in Nonlinear Analysis
This article focuses on the study of the following Schrödinger-Poisson system with zero mass: −Δu+ϕu=∣u∣u+f(u),x∈R3,−Δϕ=u2,x∈R3,\left\{\begin{array}{ll}-\Delta u+\phi u=| u| u+f\left(u),& x\in {{\mathbb{R}}}^{3},\\ -\Delta \phi ={u}^{2},& x\in {{\mathbb ...
Zhang Jing, Qin Dongdong, Sahara Siti, Wu Qingfang   +3 more
doaj   +1 more source

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  

Multiple solutions for a problem with resonance involving the p‐Laplacian

Abstract and Applied Analysis, Volume 3, Issue 1-2, Page 191-201, 1998., 1998
In this paper we will investigate the existence of multiple solutions for the problem where Δpu = div(|∇u|p−2∇u) is the p‐Laplacian operator, Ω⫅ℝN is a bounded domain with smooth boundary, h and g are bounded functions, N ≥ 1 and 1 < p < ∞. Using the Mountain Pass Theorem and the Ekeland Variational Principle, we will show the existence of at least ...
C. O. Alves, P. C. Carrião, O. H. Miyagaki   +2 more
wiley   +1 more source