Results 11 to 20 of about 472 (105)
On the symmetry of minimizers [PDF]
, 2007 For a large class of variational problems we prove that minimizers are symmetric whenever they are $C^1$.
Mihai Marics
arxiv +2 more sources
Fourth order elliptic system with dirichlet boundary condition
Journal of Inequalities and Applications, 2011 We investigate the multiplicity of the solutions of the fourth order elliptic system with Dirichlet boundary condition. We get two theorems. One theorem is that the fourth order elliptic system has at least two nontrivial solutions when λ k < c &
Choi Q-Heung, Jung Tacksun
doaj +2 more sources
A Caccioppoli-type estimate for very weak solutions to obstacle problems with weight
Journal of Inequalities and Applications, 2011 This paper gives a Caccioppoli-type estimate for very weak solutions to obstacle problems of the A -harmonic equation div A ( x , ∇ u ) = 0 with | A ( x , ξ ) | ≈ w ( x ) | ξ | p - 1 , where 1 < p < ...
Hongya Gao, Jinjing Qiao
doaj +2 more sources
Multiple nodal solutions of the Kirchhoff-type problem with a cubic term
Advances in Nonlinear Analysis, 2022 In this article, we are interested in the following Kirchhoff-type problem (0.1)−a+b∫RN∣∇u∣2dxΔu+V(∣x∣)u=∣u∣2uinRN,u∈H1(RN),\left\{\begin{array}{l}-\left(a+b\mathop{\displaystyle \int }\limits_{{{\mathbb{R}}}^{N}}| \nabla u\hspace{-0.25em}{| }^{2}{\rm{d}}
Wang Tao, Yang Yanling, Guo Hui
doaj +1 more source
Veterinary Dermatology, Volume 34, Issue 2, Page 91-98, April 2023., 2023 Background – Atopic dermatitis (AD) is one of the most common skin diseases in small animal practice. Allergen immunotherapy (AIT) is the only curative treatment for the disease, and oral, subcutaneous and intralymphatic administration of allergens are commonly employed.
Ralf S. Mueller +9 more
wiley +1 more source
Existence and asymptotic behavior of solitary waves for a weakly coupled Schrödinger system
Advanced Nonlinear Studies, 2022 This paper deals with the following weakly coupled nonlinear Schrödinger system −Δu1+a1(x)u1=∣u1∣2p−2u1+b∣u1∣p−2∣u2∣pu1,x∈RN,−Δu2+a2(x)u2=∣u2∣2p−2u2+b∣u2∣p−2∣u1∣pu2,x∈RN,\left\{\begin{array}{ll}-\Delta {u}_{1}+{a}_{1}\left(x){u}_{1}=| {u}_{1}{| }^{2p-2 ...
An Xiaoming, Yang Jing
doaj +1 more source
Maternal mental health and infant neurodevelopment at 6 months in a low‐income South African cohort
Infant Mental Health Journal: Infancy and Early Childhood, Volume 43, Issue 6, Page 849-863, November 2022., 2022 Abstract Maternal mental health disorders and the adverse consequences for infant neurodevelopment have received substantial research attention in high‐income countries over the past five decades. In Africa, where relatively little work has been done on this topic, researchers have largely focused on infant physical health outcomes.
Marlette Burger +4 more
wiley +1 more source
Ground states of Schrödinger systems with the Chern-Simons gauge fields
Advanced Nonlinear Studies, 2023 We are concerned with the following coupled nonlinear Schrödinger system: −Δu+u+∫∣x∣∞h(s)su2(s)ds+h2(∣x∣)∣x∣2u=∣u∣2p−2u+b∣v∣p∣u∣p−2u,x∈R2,−Δv+ωv+∫∣x∣∞g(s)sv2(s)ds+g2(∣x∣)∣x∣2v=∣v∣2p−2v+b∣u∣p∣v∣p−2v,x∈R2,\left\{\begin{array}{l}-\Delta u+u+\left(\underset{|
Jiang Yahui +4 more
doaj +1 more source
Normalized solutions for a class of scalar field equations involving mixed fractional Laplacians
Advanced Nonlinear Studies, 2022 The purpose of this article is to establish sharp conditions for the existence of normalized solutions to a class of scalar field equations involving mixed fractional Laplacians with different orders.
Luo Tingjian, Hajaiej Hichem
doaj +1 more source
Relativistic Chern–Simons–Higgs vortex equations [PDF]
, 2015 An existence theorem is established for the solutions to the non-Abelian relativistic Chern-Simons-Higgs vortex equations over a doubly periodic domain when the gauge group G assumes the most general and important prototype form, G = SU(N).
Xiaosen Han, Yisong Yang
semanticscholar +1 more source