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Existence of solutions for a class of p(x)-biharmonic problems without (A-R) type conditions

, 2018
In this paper, we study the existence and multiplicity of nontrivial solutions for a class of p(x)-biharmonic problems. The interesting point lines in the fact that we do not need the usual Ambrosetti-Rabinowitz type condition for the nonlinear term f ...
G. Afrouzi, N. T. Chung, M. Mirzapour
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Ground States and Energy Asymptotics of the Nonlinear Schrodinger Equation with a General Power Nonlinearity

, 2018
We study analytically the existence and uniqueness of the ground state of the nonlinear Schrödinger equation (NLSE) with a general power nonlinearity described by the power index σ≥0.
Xinran Ruan, Wenfan Yi
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On the Existence of Stationary Solutions for Some Systems of Integro-Differential Equations with Anomalous Diffusion

, 2016
: The article is devoted to the proof of the existence of solutions of a system of integro-differential equations appearing in population dynamics in the case of anomalous diffusion when the negative Laplacian is raised to some fractional power.
V. Vougalter, V. Volpert
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FIXED POINT THEOREMS IN THE STUDY OF POSITIVE SOLUTIONS FOR SYSTEMS OF EQUATIONS IN ORDERED BANACH SPACES

, 2015
In this paper we are interested in giving some sufficient conditions for the existence of coexistence states to systems of the form x = F1(x, y) y = F2(x, y), where F1 and F2 satisfy some conditions. The proofs will be based on the fixed point index. AMS
M. E. Khannoussi, A. Zertiti
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On class of nonhomogeneous discrete Dirichlet problems

, 2014
This work deals with the nonhomogeneous discrete Dirichlet eigenvalue problem −∆ (( |∆u(k−1)|p1(k−1)−2+|∆u(k−1)|p2(k−1)−2 ) ∆u(k−1) ) = λ|u|q(k)−2u, k ∈ [1, T ].
A. Ayoujil
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New Proofs for Theorems Proven by Shiraishi and Owa

, 2014
The object of the present paper is to give new proofs for theorems proven by Shiraishi and Owa [1]. They proved two theorems that are sufficient conditions for analytic functions f(z) to be starlike in the unit disc.
A. Latifi, Ahmad Shakoori Samad
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Boltzmann distributed quantum steady states and their classical limit

, 1994
We prove existence and uniqueness of Boltzmann distributed quantum steady states of an electron ensemble which moves under the actions of the self-consistent Coulomb potential and of an external potential.
P. Markowich
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Author index

, 2010
Abad-Franch, L., 06P08, 22P22, 27FP18, 31P17, 35P30 Abd, K., 22FP14 Abdallah, T., 30P18 Abelleyro, M., 21P09 Abello, V., 02P11 Abrahamyan, L., 14P02 Abshire, T., 19P07, 35P04 AbuRiash, M., 16P15 Aburubaiha, Z., 21P19 Achilova, A., 30P34 Adib, S., 03S02 ...
C. Freitas
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