Results 1 to 10 of about 420 (68)
Existence of non-negative solutions for semilinear elliptic systems via variational methods
Nonlinear Analysis, 2012 In this paper we consider a semilinear elliptic system with nonlinearities, indefinite weight functions and critical growth terms in bounded domains. The existence result of nontrivial nonnegative solutions is obtained by variational methods.
Somayeh Khademloo, Shapur Heidarkhani
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A variational method for solving quasilinear elliptic systems involving symmetric multi-polar potentials [PDF]
Differential Equations & Applications, 2020 Summary: In this paper, a system of quasilinear elliptic equations is investigated, which involves multiple critical Hardy-Sobolev exponents and symmetric multi-polar potentials. By employing the variational methods and analytic techniques, the relevant best constants are studied and the existence of \((\mathbb{Z}_k \times\mathbb{SO}(N-2))^2 ...
Rashidi, Ali Jabar, Shekarbaigi, Mohsen
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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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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 +2 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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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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Three solutions for fractional elliptic systems involving ψ-Hilfer operator
Boundary Value ProblemsIn this paper, using variational methods introduced in the previous study on fractional elliptic systems, we prove the existence of at least three weak solutions for an elliptic nonlinear system with a p-Laplacian ψ-Hilfer operator.
Rafik Guefaifia +2 more
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Real Analysis Exchange, 2008 We establish the existence of an entire weak solution for a class of stationary Schrodinger systems with subcritical discontinuous nonlinearities and lower bounded potentials that blow-up at infinity. The proof relies on Chang's version of the Mountain Pass Lemma for locally Lipschitz functionals.
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On certain nonlinear elliptic systems with indefinite terms
Electronic Journal of Differential Equations, 2002 We consider an elliptic quasi linear systems with indefinite term on a bounded domain. Under suitable conditions, existence and positivity results for solutions are given. Submitted April 2, 2002. Published October 2, 2002.
Ahmed Bensedik, Mohammed Bouchekif
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Existence of solutions for quasilinear elliptic systems involving critical exponents and Hardy terms
Electronic Journal of Differential Equations, 2013 Using variational methods, including the Ljusternik-Schnirelmann theory, we prove the existence of solutions for quasilinear elliptic systems with critical Sobolev exponents and Hardy terms.
Dengfeng Lu
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