Results 41 to 46 of about 187 (46)
Infinitely many normalized solutions of $L^2$-supercritical NLS equations on noncompact metric graphs with localized nonlinearities [PDF]
arXivWe consider the existence of solutions for nonlinear Schr\"odinger equations on noncompact metric graphs with localized nonlinearities. In an $L^2$-supercritical regime, we establish the existence of infinitely many solutions for any prescribed mass.
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The ground states for the non-cooperative autonomous systems involving the fractional Laplacian
, 2022The aim of this paper is to study the the following non-cooperative autonomous systems involving the fractional Laplacian(−∆)su + λu = g(v), in RN,(−∆)sv + λv = f(u), in RN,where s ∈ (0, 1), N > 2s, λ > 0, (−∆)s is the fractional Laplacian and f and g ...
Suhong Li +3 more
semanticscholar +1 more source
A three critical points result in a bounded domain of a Banach space and applications
Differential and Integral Equations, 2017Using the bounded mountain pass lemma and the Ekeland variational principle we prove a bounded version of the Pucci–Serrin three critical points result in the intersection of a ball with a wedge in a Banach space.
Radu Precup, P. Pucci, C. Varga
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Positive homoclinic solutions for the discrete $p$-Laplacian with a coercive weight function
Differential and Integral Equations, 2014We study a p-Laplacian difference equation on the set of integers, involving a coercive weight function and a reaction term satisfying the Ambrosetti-Rabinowitz condition.
A. Iannizzotto, Vicentiu D. Rădulescu
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A two-step Laplace decomposition method for solving nonlinear partial differential equations
, 2011The Adomian decomposition method (ADM) is an analytical method to solve linear and nonlinear equations and gives the solution a series form. Two-step Adomian decomposition method (TSADM) is a modification on ADM and makes the calculations much simpler ...
H. Jafari +3 more
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The Oscillations of Solutions of Initial Value Problems for Parabolic Equations by HPM
, 2013In this paper, we have used the homotopy perturbation method in order to find the analytical solutions of some linear and nonlinear parabolic differential equations. The method does not need linearization or weak nonlinearity assumptions. In this scheme,
H. Bulut, H. Baskonus
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