Results 11 to 20 of about 31,726 (206)

Multiple solutions for a class of nonlocal quasilinear elliptic systems in Orlicz–Sobolev spaces

Boundary Value Problems, 2021
In this paper, we study some results on the existence and multiplicity of solutions for a class of nonlocal quasilinear elliptic systems. In fact, we prove the existence of precise intervals of positive parameters such that the problem admits multiple ...
S. Heidari, A. Razani
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Analytic Regularity for Linear Elliptic Systems in Polygons and Polyhedra [PDF]

, 2011
We prove weighted anisotropic analytic estimates for solutions of second order elliptic boundary value problems in polyhedra. The weighted analytic classes which we use are the same as those introduced by Guo in 1993 in view of establishing exponential ...
Costabel, Martin, Dauge, Monique, Nicaise, Serge   +2 more
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Existence and symmetry results for competing variational systems [PDF]

, 2012
In this paper we consider a class of gradient systems of type $$ -c_i \Delta u_i + V_i(x)u_i=P_{u_i}(u),\quad u_1,..., u_k>0 \text{in}\Omega, \qquad u_1=...=u_k=0 \text{on} \partial \Omega, $$ in a bounded domain $\Omega\subseteq \R^N$.
Tavares, Hugo, Weth, Tobias
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Infinitely many solutions for a class of quasilinear two-point boundary value systems

Electronic Journal of Qualitative Theory of Differential Equations, 2015
The existence of infinitely many solutions for a class of Dirichlet quasilinear elliptic systems is established. The approach is based on variational methods.
Giuseppina D'Aguì, Shapour Heidarkhani, Angela Sciammetta   +2 more
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Gutzwiller variational theory for the Hubbard model with attractive interaction [PDF]

, 2005
We investigate the electronic and superconducting properties of a negative-U Hubbard model. For this purpose we evaluate a recently introduced variational theory based on Gutzwiller-correlated BCS wave functions.
Anderson P W, Bünemann J, Florian Gebhard, Gebhard F, Hubbard J, Hubbard J, Jörg Bünemann, Katalin Radnóczi, Patrik Fazekas, Zhang F C   +9 more
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A note on the variational structure of an elliptic system involving critical Sobolev exponent

Journal of Applied Mathematics, 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.
Mario Zuluaga
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Nonlinear elliptic systems

Anais da Academia Brasileira de Ciências, 2000
In this paper we treat the question of the existence of solutions of boundary value problems for systems of nonlinear elliptic equations of the form - deltau = f (x, u, v,Ñu,Ñv), - deltav = g(x, u, v, Ñu, Ñv), in omega, We discuss several classes of such
DJAIRO G. DEFIGUEIREDO
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Preconditioning for Allen-Cahn variational inequalities with non-local constraints [PDF]

, 2010
The solution of Allen-Cahn variational inequalities with mass constraints is of interest in many applications. This problem can be solved both in its scalar and vector-valued form as a PDE-constrained optimization problem by means of a primal-dual active
Blank, Luise, Sarbu, Lavinia, Stoll, Martin   +2 more
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Efficient Resolution of Anisotropic Structures [PDF]

, 2014
We highlight some recent new delevelopments concerning the sparse representation of possibly high-dimensional functions exhibiting strong anisotropic features and low regularity in isotropic Sobolev or Besov scales. Specifically, we focus on the solution
A. Buffa, A. Cohen, A. Cohen, A. Cohen, A. Cohen, A. Gerner, B.K. Alpert, D.L. Donoho, D.L. Donoho, E.J. Candès, E.J. King, G. Kutyniok, G. Kutyniok, G. Kutyniok, G. Kutyniok, G. Rozza, G. Widmer, H.-J. Bungartz, J.W. Barrett, K. Grella, K. Grella, L. Chen, L. Demkowicz, L.F. Demkowicz, M.F. Modest, P. Binev, P. Kittipoom, P.B. Bochev, R. DeVore, S. Sen, V. Dolejsi, W. Dahmen, W. Dahmen, W.-Q Lim, Z. Cai   +34 more
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Separatrix splitting at a Hamiltonian $0^2 i\omega$ bifurcation [PDF]

, 2014
We discuss the splitting of a separatrix in a generic unfolding of a degenerate equilibrium in a Hamiltonian system with two degrees of freedom. We assume that the unperturbed fixed point has two purely imaginary eigenvalues and a double zero one.
A Giorgilli, A Mielke, AR Champneys, AR Champneys, C Grotta Ragazzo, D Treschev, E Lombardi, G Iooss, G Iooss, G Iooss, G L Alfimov, H W Broer, I Baldomá, I Baldomá, I Baldomá, J Llibre, J Moser, Lev Lerman, LM Lerman, LM Lerman, M Haragus, O Koltsova, O Koltsova, OYu Koltsova, T Jézéquel, V G Gelfreich, V G Gelfreich, V G Gelfreich, V Gelfreich, V Gelfreich, V Gelfreich, Vassili Gelfreich, VG Gelfreich   +32 more
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