Results 41 to 50 of about 1,698 (113)

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

Normalized solutions for the p-Laplacian equation with a trapping potential

Advances in Nonlinear Analysis, 2023
In this article, we are concerned with normalized solutions for the pp -Laplacian equation with a trapping potential and Lr{L}^{r}-supercritical growth, where r=pr=p or 2.2.
Wang Chao, Sun Juntao
doaj   +1 more source

EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR NONLINEAR SCHRÖDINGER-KIRCHHOFF-TYPE EQUATIONS

, 2016
. In this paper, we consider the following Schro¨dinger-Kirch-hoff-type equationsa+ bZ R N (|∇u| 2 + V(x)|u| 2 )dx[−∆u+ V(x)u] = f(x,u), in R N .Under certain assumptions on V and f, some new criteria on the exis-tence and multiplicity of nontrivial ...
Haibo Chen, Hongliang Liu, Liping Xu
semanticscholar   +1 more source

A placebo‐controlled, double‐blind study evaluating the effect of orally administered polyunsaturated fatty acids on the oclacitinib dose for atopic dogs

Veterinary Dermatology, Volume 35, Issue 4, Page 408-417, August 2024.
Background – Supplementation of polyunsaturated fatty acids (PUFA) enables dose reduction of prednisolone and ciclosporin in canine atopic dermatitis (cAD). Objective – To determine if oral administration of PUFA can reduce the dose of oclacitinib for cAD. Conclusion – Oral supplementation of PUFA allowed dose reduction of oclacitinib and improved pVAS,
Laura Schäfer, Nina Thom
wiley   +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

Positive solutions for a class of singular (p, q)-equations

Advances in Nonlinear Analysis, 2023
We consider a nonlinear singular Dirichlet problem driven by the (p,q)\left(p,q)-Laplacian and a reaction where the singular term u−η{u}^{-\eta } is multiplied by a strictly positive Carathéodory function f(z,u)f\left(z,u).
Leonardi Salvatore, Papageorgiou Nikolaos S.   +1 more
doaj   +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

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  

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