Nonlinear Equations Involving Nonpositive Definite Linear Operators via Variational Methods
The paper is concerned with the application of variational methods, namely the variational method due to \textit{B. Ricceri} [J. Comput. Appl. Math. 113, No. 1--2, 401--410 (2000; Zbl 0946.49001)] in showing the existence of solutions for nonlinear equations of the type \(u=K\mathbf{f}(u)\), where \(K:L^{q_{0}}( \Omega) \rightarrow L^{p_{0}}( \Omega) \)
ANELLO, Giovanni, CORDARO G.
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In this paper, we apply a new technique, namely local fractional variational iteration transform method on homogeneous/non-homogeneous non-linear gas dynamic and coupled KdV equations to obtain the analytical approximate solutions. The iteration procedure is based on local fractional derivative and integral operators.
Dumitru Baleanu +2 more
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Solving Composite Fixed Point Problems with Block Updates
Various strategies are available to construct iteratively a common fixed point of nonexpansive operators by activating only a block of operators at each iteration.
Combettes Patrick L., Glaudin Lilian E.
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Normalized Solutions for an Anisotropic Nonlinear Schrödinger Equation with Potentials
In this paper, we study the existence of normalized solutions for anisotropic nonlinear Schrödinger equation with potentials which are bounded and converge to positive constants at infinity.
Canlin Gan, Weiwei Wang
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Existence results for Robin problems involving p(x)-Laplacian-like operators with convection term
This paper studies the existence of solutions for Robin problems involving p(x)-Laplacian-like operators which arise from capillarity phenomena. When we only consider the convective term, due to the lack of a variational structure, the well-known ...
Zhang Zhenfeng +4 more
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This paper is concerned with a system of nonlinear elliptic equations driven by ( p ( ⋅ ) , q ( ⋅ ) ) $(p(\cdot ), q(\cdot ))$ -Laplacian type operators with variable exponents, subject to homogeneous Neumann boundary conditions.
Ahmed Ahmed, Khaled Kefi
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Combined effects and degenerate phenomena in nonlinear stationary problems
In this survey paper we are concerned with several nonlinear stationary problems involving nonhomogeneous differential operators. We report on some recent qualitative results related with various nonlinear problems in Orlicz-Sobolev spaces.
Vicenţiu D. Rǎdulescu
doaj
Hybrid expansion methods for fractional non-linear mathematical systems with Erdelyi-Kober derivative operators in theory of tsunami wave modeling. [PDF]
Damag FH +5 more
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A second-order dynamical system for solving inverse quasi-variational inequalities and its application. [PDF]
Gan T, Khan VK, Ahmad MK, Cai QB.
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A locally adaptive regularization of a hybrid variational model for color image diffusion via integration of diffusion with normalized data. [PDF]
Arain MB +6 more
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