Results 21 to 30 of about 3,762 (154)
New Periodic Solutions for the Singular Hamiltonian System
Abstract and Applied Analysis, 2014 By use of the Cerami-Palais-Smale condition, we generalize the classical Weierstrass minimizing theorem to the singular case by allowing functions which attain infinity at some values. As an application, we study certain singular second-order Hamiltonian
Yi Liao
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, 2014 In this paper, we give some {\L}ojasiewicz-type inequalities and a nonsmooth slope inequality on non-compact domains for continuous definable functions in an o-minimal structure.
Dũng, Hoang Phi
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Eigenvalue problems for degenerate nonlinear elliptic equations in anisotropic media
Boundary Value Problems, 2005 We study nonlinear eigenvalue problems of the type −div(a(x)∇u)=g(λ,x,u) in â„ÂN, where a(x) is a degenerate nonnegative weight. We establish the existence of solutions and we obtain information on qualitative properties as multiplicity ...
Vicenţiu RăDulescu +1 more
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Existence and multiplicity of solutions for a nonhomogeneous Neumann boundary problem [PDF]
Opuscula Mathematica, 2015 We consider a nonlinear Neumann elliptic equation driven by a \(p\)-Laplacian-type operator which is not homogeneous in general. For such an equation the energy functional does not need to be coercive, and we use suitable variational methods to show that
Liliana Klimczak
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Existence of infinitely many solutions for a p-Kirchhoff problem in RN
Boundary Value Problems, 2020 We consider the existence of multiple solutions of the following singular nonlocal elliptic problem: { − M ( ∫ R N | x | − a p | ∇ u | p ) div ( | x | − a p | ∇ u | p − 2 ∇ u ) = h ( x ) | u | r − 2 u + H ( x ) | u | q − 2 u , u ( x ) → 0 as | x | → ∞ ,
Zonghu Xiu, Jing Zhao, Jianyi Chen
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Ground state solution of a noncooperative elliptic system
, 2013 In this paper, we study the existence of a ground state solution, that is, a non trivial solution with least energy, of a noncooperative semilinear elliptic system on a bounded domain.
Batkam, Cyril Joel
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Numerical Study of a Nonlocal Nonlinear Schrödinger Equation (MMT Model)
Studies in Applied Mathematics, Volume 156, Issue 3, March 2026.ABSTRACT In this paper, we study a nonlocal nonlinear Schrödinger equation (MMT model). We investigate the effect of the nonlocal operator appearing in the nonlinearity on the long‐term behavior of solutions, and we identify the conditions under which the solutions of the Cauchy problem associated with this equation are bounded globally in time in the ...
Amin Esfahani, Gulcin M. Muslu
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Infinitely many homoclinic solutions for a class of damped vibration problems
Electronic Journal of Qualitative Theory of Differential Equations, 2022 In this paper, we consider the multiplicity of homoclinic solutions for the following damped vibration problems $$ \ddot{x}(t)+B\dot{x}(t)-A(t)x(t)+H_{x}(t,x(t))=0,$$ where $A(t)\in (\mathbb{R},\mathbb{R}^{N})$ is a symmetric matrix for all $t\in \mathbb{
Huijuan Xu, Shan Jiang, Guanggang Liu
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Fractional Q$Q$‐curvature on the sphere and optimal partitions
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract We study an optimal partition problem on the sphere, where the cost functional is associated with the fractional Q$Q$‐curvature in terms of the conformal fractional Laplacian on the sphere. By leveraging symmetries, we prove the existence of a symmetric minimal partition through a variational approach. A key ingredient in our analysis is a new
Héctor A. Chang‐Lara +2 more
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Existence Results For Semilinear Problems in the Two Dimensional Hyperbolic Space Involving Critical Growth [PDF]
, 2015 We consider semilinear elliptic problems on two-dimensional hyperbolic space involving critical growth. We first establish the Palais-Smale(P-S) condition and using (P-S) condition we obtain existence of solutions.
Ganguly, Debdip, Karmakar, Debabrata
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