Results 41 to 50 of about 1,671 (114)
Domain perturbation method and local minimizers to Ginzburg‐Landau functional with magnetic effect
Abstract and Applied Analysis, Volume 5, Issue 2, Page 101-112, 2000., 2000 We prove the existence of vortex local minimizers to Ginzburg‐Landau functional with a global magnetic effect. A domain perturbating method is developed, which allows us to extend a local minimizer on a nonsimply connected superconducting material to the local minimizer with vortex on a simply connected material.
Shuichi Jimbo, Jian Zhai
wiley +1 more source
Leray-Schauder’s solution for a nonlocal problem in a fractional Orlicz-Sobolev space
Moroccan Journal of Pure and Applied Analysis, 2020 Via Leray-Schauder’s nonlinear alternative, we obtain the existence of a weak solution for a nonlocal problem driven by an operator of elliptic type in a fractional Orlicz-Sobolev space, with homogeneous Dirichlet boundary conditions.
Boumazourh Athmane, Srati Mohammed
doaj +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 +1 more
wiley +1 more source
, 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
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 +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 +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
Infinitely many solutions for a class of Kirchhoff-type equations
Open MathematicsIn 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
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
A multiplicity result for the scalar field equation
, 2013 We prove the existence of $N - 1$ distinct pairs of nontrivial solutions of the scalar field equation in ${\mathbb R}^N$ under a slow decay condition on the potential near infinity, without any symmetry assumptions.
Perera, Kanishka
core +1 more source