Results 21 to 30 of about 586 (91)
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
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Concentration behavior of semiclassical solutions for Hamiltonian elliptic system
Advances in Nonlinear Analysis, 2020 In this paper, we study the following nonlinear Hamiltonian elliptic system with gradient ...
Zhang Jian +3 more
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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
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Stability of solitary-wave solutions of coupled NLS equations with power-type nonlinearities
Advances in Nonlinear Analysis, 2015 This paper proves existence and stability of solitary-wave solutions of a system of 2-coupled nonlinear Schrödinger equations with power-type nonlinearities arising in several models of modern physics. The existence of vector solitary-wave solutions (i.e.
Bhattarai Santosh
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Regularizing effect for some p-Laplacian systems [PDF]
, 2019 We study existence and regularity of weak solutions for the following $p$-Laplacian system \begin{cases} -\Delta_p u+A\varphi^{\theta+1}|u|^{r-2}u=f, \ &u\in W_0^{1,p}(\Omega),\\-\Delta_p \varphi=|u|^r\varphi^\theta, \ &\varphi\in W_0^{1,p}(\Omega), \end{
Durastanti, Riccardo
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Multiple positive solutions for quasilinear elliptic problems with sign‐changing nonlinearities
Abstract and Applied Analysis, Volume 2004, Issue 12, Page 1047-1055, 2004., 2004 Using variational arguments, we prove some nonexistence and multiplicity results for positive solutions of a system of p‐Laplace equations of gradient form. Then we study a p‐Laplace‐type problem with nonlinear boundary conditions.
Julián Fernández Bonder
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A note on the variational structure of an elliptic system involving critical Sobolev exponent
Journal of Applied Mathematics, Volume 2003, Issue 5, Page 227-241, 2003., 2003 We consider an elliptic system involving critical growth conditions. We develop a technique of variational methods for elliptic systems. Using the well‐known results of maximum principle for systems developed by Fleckinger et al. (1995), we can find positive solutions.
Mario Zuluaga
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Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems
Abstract and Applied Analysis, Volume 7, Issue 3, Page 155-167, 2002., 2002 This work is devoted to the study of a quasilinear elliptic system of resonant type. We prove the existence of infinitely many solutions of a related nonlinear eigenvalue problem. Applying an abstract minimax theorem, we obtain a solution of the quasilinear system −Δpu = Fu(x, u, v), − Δqv = F v(x, u, v), under conditions involving the first and the ...
Pablo L. de Nàpoli, M. Cristina Mariani
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Homogenization in elastodynamics with force term depending on time
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 10, Page 723-728, 2000., 2000 We extend the study on the homogenization problem for an elastic material containing a distributed array of gas bubbles to the case when the body force depends on time. By technically constructing an approximating sequence, we are able to show the convergence of semigroups and therefore prove the main result that such spongy material can be ...
Ping Wang
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Nonautonomous Klein–Gordon–Maxwell systems in a bounded domain
Advances in Nonlinear Analysis, 2014 This paper deals with the Klein–Gordon–Maxwell system in a bounded spatial domain with a nonuniform coupling. We discuss the existence of standing waves in equilibrium with a purely electrostatic field, assuming homogeneous Dirichlet boundary conditions ...
d'Avenia Pietro +2 more
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