Results 21 to 30 of about 184 (121)
Nontrivial solution for Klein-Gordon equation coupled with Born-Infeld theory with critical growth
Advances in Nonlinear Analysis, 2023 In this article, we study the following system: −Δu+V(x)u−(2ω+ϕ)ϕu=λf(u)+∣u∣4u,inR3,Δϕ+βΔ4ϕ=4π(ω+ϕ)u2,inR3,\left\{\begin{array}{ll}-\Delta u+V\left(x)u-\left(2\omega +\phi )\phi u=\lambda f\left(u)+| u{| }^{4}u,& \hspace{0.1em}\text{in}\hspace{0.1em ...
He Chuan-Min, Li Lin, Chen Shang-Jie
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The extremal problem for Sobolev inequalities with upper order remainder terms.
, 2023 Given a smooth compact Riemannian n-manifold (M, g), we prove existence and compactness results of extremal functions for sharp Sobolev inequalities which are closely related to the embed ding of H1,q(M) into L qn/(n−q) (M) where the L q remainder term ...
Lemos, Flávio Almeida +1 more
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Multiple Periodic Solutions of a Class of Fractional Laplacian Equations
Advanced Nonlinear Studies, 2021 In this paper, we study the existence of multiple periodic solutions for the following fractional equation:
Cui Ying-Xin, Wang Zhi-Qiang
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, 2022 The paper deals with a nonlinear elasticity system with nonconstant coefficients. The existence and uniqueness of the solution of Neumann’s problem is proved using Galerkin techniques and monotone operator theory, in Sobolev spaces with variable ...
MEROUANI, Boubakeur, ZOUBAI, Fayrouz
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Existence results for Dirichlet double phase differential inclusions
, 2023 In this paper we consider a class of double phase differential inclusions. The variational formulation of the problem gives rise to a so-called hemivariational inequality and the corresponding energy functional is not differentiable.
Shengda Zeng +3 more
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, 2022 In this paper, we employ the critical point theory and iterative methods to establish the existence of solutions for an impulsive boundary value problem with nonlinear derivative dependence on the half-line.
MOUSSAOUI, Toufik, BOUMARAF, Sihem
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Open Mathematics, 2022 In this article, we study a class of Kirchhoff-type equation driven by the variable s(x, ⋅)-order fractional p1(x, ⋅) & p2(x, ⋅)-Laplacian. With the help of three different critical point theories, we obtain the existence and multiplicity of solutions in
Bu Weichun, An Tianqing, Zuo Jiabin
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Study of a mixed problem for a nonlinear elasticity system by topological degree
, 2021 In this paper, we consider a mixed problem for a nonlinear elasticity system with laws of general behavior. The coefficients of elasticity depends on x meanwhile the density of the volumetric forces depends on the displacement. The main aim of this paper
MEROUANI, Boubakeur, ZOUBAI, Fayrouz
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Open Mathematics, 2022 In this article, we study two classes of Kirchhoff-type equations as follows: −a+b∫R3∣∇u∣2dxΔu+V(x)u=(Iα∗∣u∣p)∣u∣p−2u+f(u),inR3,u∈H1(R3),\left\{\begin{array}{l}-\left(a+b\underset{{{\mathbb{R}}}^{3}}{\overset{}{\int }}| \nabla u{| }^{2}{\rm{d}}x\right ...
Zhou Li, Zhu Chuanxi
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Bäcklund transformations for several cases of a type of generalized KdV equation
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 63, Page 3369-3377, 2004., 2004 An alternate generalized Korteweg‐de Vries system is studied here. A procedure for generating solutions is given. A theorem is presented, which is subsequently applied to this equation to obtain a type of Bäcklund transformation for several specific cases of the power of the derivative term appearing in the equation. In the process, several interesting,
Paul Bracken
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