Results 11 to 20 of about 187 (46)
Variational analysis for a nonlinear elliptic problem on the Sierpiński gasket
, 2012 Under an appropriate oscillating behaviour either at zero or at infinity of the nonlinear term, the existence of a sequence of weak solutions for an eigenvalue Dirichlet problem on the Sierpinski gasket is proved.
G. Bonanno +2 more
semanticscholar +1 more source
Heteroclinic standing waves in defocussing DNLS equations -- Variational approach via energy minimization [PDF]
Applicable Analysis, vol. 89, no. 10, pp. 1591-1602, 2010, 2010 We study heteroclinic standing waves (dark solitons) in discrete nonlinear Schr\"{o}dinger equations with defocussing nonlinearity. Our main result is a quite elementary existence proof for waves with monotone and odd profile, and relies on minimizing an appropriately defined energy functional.
arxiv +1 more source
Existence of homoclinic solutions for a class of difference systems involving p-Laplacian
Advances in Differential Equations, 2014 By using the critical point theory, some existence criteria are established which guarantee that the difference p-Laplacian systems of the form Δ(|Δu(n−1)|p−2Δu(n−1))−a(n)|u(n)|q−pu(n)+∇W(n,u(n))=0 have at least one or infinitely many homoclinic ...
Qiongfen Zhang
semanticscholar +1 more source
Fractional double phase Robin problem involving variable order-exponents and Logarithm-type nonlinearity [PDF]
, 2022 In this paper, we study the existence of solutions for the new fractinal Robin equations with variable exponents. Moreover, we deal with the logarithm-type nonlinearity. In particular, we consider two cases: critical and subcritical cases.
arxiv +1 more source
Errata: Scattering threshold for the focusing nonlinear Klein-Gordon equation [PDF]
Anal. PDE 9 (2016) 503-514, 2015 This article resolves some errors in the paper "Scattering threshold for the focusing nonlinear Klein-Gordon equation", Analysis & PDE 4 (2011) no. 3, 405-460. The errors are in the energy-critical cases in two and higher dimensions.
arxiv +1 more source
Boundary Value Problems, 2014 This paper is concerned with the existence of homoclinic solutions for a class of second order p-Laplacian systems with impulsive effects. A new result is obtained under more relaxed conditions by using the mountain pass theorem, a weak convergence ...
Li Li, Kai Chen
semanticscholar +1 more source
Global minimizers of coexistence for competing species [PDF]
, 2010 A class of variational models describing ecological systems of k species competing for the same resources is investigated. The occurrence of coexistence in minimal energy solutions is discussed and positive results are proven for suitably differentiated internal dynamics.
arxiv +1 more source
Generalized Burgers equation with rough transport noise [PDF]
Stochastic Processes and their Applications (2019), available
online, 2018 We introduce a new technique for studying well posedness and energy estimates for evolution equations with a rough transport term. The technique is based on finding suitable space-time weight functions for the equations at hand. As an example we study the well posedness of the generalized viscous Burgers equation perturbed by a rough path transport ...
arxiv +1 more source
, 2011 We study the strong convergence of a regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in a uniformly convex and uniformly smooth Banach space.2010 Mathematics Subject Classification ...
J. Kim, Truong Minh Tuyen
semanticscholar +1 more source
Least energy sign-changing solution of fractional $p$-Laplacian problems involving singularities [PDF]
Dynamics of Partial Differential Equations (2020), Volume 17,
Issue 2, pp. 97-115, 2019 In this paper we study the existence of a least energy sign-changing solution to a nonlocal elliptic PDE involving singularity by using the Nehari manifold method, the constraint variational method and Brouwer degree theory.
arxiv +1 more source