Results 11 to 20 of about 502 (154)

Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems

Abstract and Applied Analysis, 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.
Pablo L. de Nàpoli, M. Cristina Mariani
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Two-grid virtual element discretization of quasilinear elliptic problem

Mathematical Modelling and Analysis
In this paper a two grid algorithm for quasilinear elliptic problem based on virtual element method (VEM) discretization is proposed. With this new algorithm the solution of a quasilinear elliptic problem on a fine grid is reduced to the solution of a ...
Fengxin Chen, Minghui Yang, Zhaojie Zhou
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Existence of Nontrivial Solutions for a Critical Perturbed Quasilinear Elliptic System [PDF]

Journal of Function Spaces, 2014
We consider a perturbed quasilinear elliptic system involving the p-Laplacian with critical growth terms in RN. Under proper conditions, we establish the existence of nontrivial solutions by using the variational methods.
Huixing Zhang, Xiangzhi Zhang
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Multiple Positive Solutions for a Quasilinear Elliptic System Involving Concave-Convex Nonlinearities and Sign-Changing Weight Functions [PDF]

International Journal of Mathematics and Mathematical Sciences, 2012
Let Ω∋0 be an-open bounded domain in ℝ𝑁(𝑁≥3) and 𝑝∗=(𝑝𝑁/(𝑁−𝑝)). We consider the following quasilinear elliptic system of two equations in 𝑊01,𝑝(Ω)×𝑊01,𝑝(Ω): −Δ𝑝𝑢=𝜆𝑓(𝑥)|𝑢|𝑞−2𝑢+(𝛼/(𝛼+𝛽))ℎ(𝑥)|𝑢|𝛼−2𝑢|𝑣|𝛽,−Δ𝑝𝑣=𝜇𝑔(𝑥)|𝑣|𝑞−2𝑣+(𝛽/(𝛼+𝛽))ℎ(𝑥)|𝑢|𝛼|𝑣|𝛽−2𝑣, where 𝜆,𝜇 ...
Tsing-San Hsu
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Entire solutions of quasilinear elliptic systems on Carnot groups [PDF]

Proceedings of the Steklov Institute of Mathematics, 2013
We prove general a priori estimates of solutions of a class of quasilinear elliptic system on Carnot groups. As a consequence, we obtain several non existence theorems. The results are new even in the Euclidean setting.
MITIDIERI, ENZO, L. D'AMBROSIO
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A nonexistence result for a system of quasilinear degenerate elliptic inequalities in a half-space

Electronic Journal of Differential Equations, 2002
We show that a system of quasilinear degenerate elliptic inequalities does not have non-trivial solutions for a certain range of parameters in the system.
Mokthar Kirane, Eric Nabana
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Estimates for eigenvalues of quasilinear elliptic systems. Part II

Journal of Differential Equations, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fernández Bonder, Julián, Pinasco, Juan P.   +1 more
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Estimates for eigenvalues of quasilinear elliptic systems

Journal of Differential Equations, 2006
In this paper we introduce the generalized eigenvalues of a quasilinear elliptic system of resonant type. We prove the existence of infinitely many continuous eigencurves, which are obtained by variational methods. For the one-dimensional problem, we obtain a hyperbolic type function defining a region which contains all the generalized eigenvalues ...
Pablo L. De Nápoli, Juan Pablo Pinasco
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Three weak solutions to a degenerate quasilinear elliptic system

Le Matematiche, 2019
Summary: Sufficient conditions are established to guarantee the existence of at leastthree weak solutions to a degenerate quasilinear elliptic systemwith three parameters and Dirichlet boundary conditions. An application ofthe main theorem to a scalar elliptic problem is also presented.The proofs in the paper mainly make use of a variational argument ...
J.R. Graef, S. Heidarkhani, L. Kong, A. Salari   +3 more
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Existence of multiple solutions for quasilinear diagonal elliptic systems

Electronic Journal of Differential Equations, 1999
Nonsmooth-critical-point theory is applied in proving multiplicity results for the quasilinear symmetric elliptic system $$ -sum_{i,j=1}^{n}D_j(a^{k}_{ij}(x,u)D_iu_k)+ {1over 2}sum_{i,j=1}^{n}sum_{h=1}^N D_{s_k}a^{h}_{ij}(x,u)D_iu_hD_ju_h=g_k(x,u ...
Marco Squassina
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