Results 1 to 10 of about 187 (46)
Coupled and uncoupled sign-changing spikes of singularly perturbed elliptic systems [PDF]
Communications in Contemporary Mathematics, 2021 We study the existence and asymptotic behavior of solutions having positive and sign-changing components to the singularly perturbed system of elliptic equations in a bounded domain Ω in R N , with N ≥ 4, ε > 0, µ i > 0, λ ij = λ ji < 0, α ij , β ij > 1,
M. Clapp, M. Soares
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New periodic solutions of singular Hamiltonian systems with fixed energies [PDF]
Journal of Inequalities and Applications, 2014 By using the variational minimizing method with a special constraint and the direct variational minimizing method without constraint, we study second-order Hamiltonian systems with a singular potential V∈C2(Rn∖O,R) and V∈C1(R2∖O,R), which may have an ...
Fengying Li, Qingqing Hua, Shenmin Zhang
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, 2020 In this paper, we introduce generalized relaxed monotone mappings and relaxed invariant pseudomonotone mappings for bi-functions. By using KKM technique, we establish certain existence results for mixed invex equilibrium problems with the generalized ...
B. Sahu, S. Pani, R. Mohapatra
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Existence of a nontrivial solution for a (p,q)-Laplacian equation with p-critical exponent in RN
Boundary Value Problems, 2014 In this paper we prove the existence of a nontrivial solution in D1,p(RN)∩D1,q(RN) for the following (p,q)-Laplacian problem: {−Δpu−Δqu=λg(x)|u|r−1u+|u|p⋆−2u,u(x)≥0,x∈RN, where ...
M. F. Chaves, G. Ercole, O. Miyagaki
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Existence of homoclinic orbits for a class of p-Laplacian systems in a weighted Sobolev space
Boundary Value Problems, 2013 By applying the mountain pass theorem and symmetric mountain pass theorem in critical point theory, the existence of at least one or infinitely many homoclinic solutions is obtained for the following p-Laplacian system: ddt(|u˙(t)|p−2u˙(t))−a(t)|u(t)|q ...
Xiubo Shi, Qiongfen Zhang, Qi-Ming Zhang
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Variational approach to a class of impulsive differential equations
Boundary Value Problems, 2014 In this article, the author discusses the existence of solutions for a class of impulsive differential equations by means of a variational approach different from earlier approaches.MSC:34B37, 45G10, 47H30, 47J30.
D. Guo
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Boundary Value Problems, 2014 This paper is devoted to the study of a class of Kirchhoff type problems with critical exponent, concave nonlinearity, and sign-changing weight functions.
Changmu Chu
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Nonsmooth set variational inequality problems and optimality criteria for set optimization
, 2020 In this work, set-valued optimization problems are considered according to an order relation, which is a partial order on the family such that contains nonempty bounded sets of the space. A generalized convexity is defined for set-valued mapping by using
E. Karaman
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Fixed points of nonexpansive potential operators in Hilbert spaces
Fixed Point Theory and Applications, 2012 In this paper, we show the impact of certain general results by the author on the topic described in the title. Here is a sample:Let (X,〈⋅,⋅〉) be a real Hilbert space and let T:X→X be a nonexpansive potential operator.Then, the following alternative ...
B. Ricceri
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Existence of fast homoclinic orbits for a class of second-order non-autonomous problems
Boundary Value Problems, 2014 By applying the mountain pass theorem and the symmetric mountain pass theorem in critical point theory, the existence and multiplicity of fast homoclinic solutions are obtained for the following second-order non-autonomous problem: u¨(t)+q(t)u˙(t)−a(t)|u(
Qiongfen Zhang +2 more
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