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MULTIPLICITY OF SOLUTIONS FOR DOUBLE PHASE EQUATIONS WITH CONCAVE-CONVEX NONLINEARITIES
Journal of Applied Analysis & Computation, 2021 Summary: This paper is devoted to the study of the \(L^\infty \)-bound of solutions to a double-phase problem with concave-convex nonlinearities by applying the De Giorgi's iteration method and the localization method. Employing this and a variant of Ekeland's variational principle, we provide the existence of at least two distinct nontrivial solutions
Joe, Woo Jin +3 more
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Abstract and Applied Analysis, 2011 A semilinear elliptic problem (𝐸𝜆) with concave-convex nonlinearities and multiple Hardy-type terms is considered. By means of a variational method, we establish the existence and multiplicity of positive solutions for problem (𝐸𝜆).
Tsing-San Hsu
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Fractal and Fractional, 2023 This paper is concerned with the existence result of a sequence of infinitely many small energy solutions to the fractional r(·)-Laplacian equations of Kirchhoff–Schrödinger type with concave–convex nonlinearities when the convex term does not require ...
Yun-Ho Kim
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Distributed Reconstruction of Nonlinear Networks: An ADMM Approach [PDF]
, 2014 In this paper, we present a distributed algorithm for the reconstruction of large-scale nonlinear networks. In particular, we focus on the identification from time-series data of the nonlinear functional forms and associated parameters of large-scale ...
Pan, Wei, Sootla, Aivar, Stan, Guy-Bart
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The (p,q)-elliptic systems with concave-convex nonlinearities
Differential Equations & Applications, 2017 Summary: Multiple positive solutions for the \((p,q)\)-elliptic systems with the concave-convex nonlinearities are obtained by using the Nehari manifold and the fibering method.
Liu, Xiaoqi, Ou, Zengqi
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Critical nonlocal systems with concave-convex powers
, 2016 By using the fibering method jointly with Nehari manifold techniques, we obtain the existence of multiple solutions to a fractional $p$-Laplacian system involving critical concave-convex nonlinearities provided that a suitable smallness condition on the ...
Chen, Wenjing, Squassina, Marco
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The Nehari manifold for fractional systems involving critical nonlinearities
, 2016 We study the combined effect of concave and convex nonlinearities on the number of positive solutions for a fractional system involving critical Sobolev exponents.
He, Xiaoming +2 more
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A concave-convex problem with a variable operator [PDF]
, 2017 We study the following elliptic problem $-A(u) = \lambda u^q$ with Dirichlet boundary conditions, where $A(u) (x) = \Delta u (x) \chi_{D_1} (x)+ \Delta_p u(x) \chi_{D_2}(x)$ is the Laplacian in one part of the domain, $D_1$, and the $p-$Laplacian (with ...
Molino, Alexis, Rossi, Julio D.
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On a Dirichlet problem with $(p,q)$-Laplacian and parametric concave-convex nonlinearity
, 2018 A homogeneous Dirichlet problem with $(p,q)$-Laplace differential operator and reaction given by a parametric $p$-convex term plus a $q$-concave one is investigated.
Aizicovici +29 more
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On stable solutions of boundary reaction-diffusion equations and applications to nonlocal problems with Neumann data [PDF]
, 2015 We study reaction-diffusion equations in cylinders with possibly nonlinear diffusion and possibly nonlinear Neumann boundary conditions. We provide a geometric Poincar\'e-type inequality and classification results for stable solutions, and we apply them ...
Dipierro, Serena +2 more
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