Results 1 to 10 of about 222 (73)
Fixed Point Theory and Applications, 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.
Tuyen Truong, Kim Jong
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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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Existence and multiplicity results for a Steklov problem involving (p(x), q(x))-Laplacian operator
Moroccan Journal of Pure and Applied Analysis, 2022 In this work, we are concerned with a generalized Steklov problem with (p(x), q(x))-Laplacian operator. Under some appropriate conditions on the data involved in the elliptic problem, we prove the existence of at least three solutions using Ricceri’s ...
Karim Belhadj +3 more
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Open Mathematics, 2022 While it is known that one can consider the existence of solutions to boundary-value problems for fractional differential equations with derivative terms, the situations for the multiplicity of weak solutions for the p-Laplacian fractional differential ...
Chen Yiru, Gu Haibo
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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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Nontrivial solutions to the p-harmonic equation with nonlinearity asymptotic to |t|p–2t at infinity
Advances in Nonlinear Analysis, 2021 We consider the following p-harmonic ...
He Qihan, Lv Juntao, Lv Zongyan
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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 and multiplicity results for fractional p(x)-Laplacian Dirichlet problem
Moroccan Journal of Pure and Applied Analysis, 2022 In this paper, we study a class of fractional p(x)-Laplacian Dirichlet problems in a bounded domain with Lipschitz boundary. Using variational methods, we prove in different situations the existence and multiplicity of solutions.
Chakrone O. +3 more
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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 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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