Sign-changing solutions for some nonlinear problems with strong resonance
Boundary Value Problems, 2011 By means of critical point and index theories, we obtain the existence and multiplicity of sign-changing solutions for some elliptic problems with strong resonance at infinity, under weaker conditions.
Qian Aixia
doaj +2 more sources
On the stability of standing waves of Klein-Gordon equations in a semiclassical regime [PDF]
arXiv, 2012 We investigate the orbital stability and instability of standing waves for two classes of Klein-Gordon equations in the semi-classical regime.Comment: 9 ...
______ +41 more
core +4 more sources
On skew loops, skew branes and quadratic hypersurfaces [PDF]
, 2003 A skew brane is an immersed codimension 2 submanifold in affine space, free from pairs of parallel tangent spaces. Using Morse theory, we prove that a skew brane cannot lie on a quadratic hypersurface.
Tabachnikov, Serge
core +3 more sources
Anisotropic Choquard problems with Stein–Weiss potential: nonlinear patterns and stationary waves
Comptes rendus. Mathematique, 2021 Weighted inequality theory for fractional integrals is a relatively less known branch of calculus that offers remarkable opportunities to simulate interdisciplinary processes.
Youpei Zhang +2 more
semanticscholar +1 more source
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
doaj +1 more source
Periodic solutions to a class of distributed delay differential equations via variational methods
Advances in Nonlinear Analysis, 2023 In this article, we study the existence of periodic solutions to a class of distributed delay differential equations. We transform the search for periodic solutions with the special symmetry of a delay differential equation to the problem of finding ...
Xiao Huafeng, Guo Zhiming
doaj +1 more source
Geodesics and horizontal-path spaces in Carnot groups [PDF]
, 2013 We study properties of the space of horizontal paths joining the origin with a vertical point on a generic two-step Carnot group. The energy is a Morse-Bott functional on paths and its critical points (sub-Riemannian geodesics) appear in families ...
A. Agrachev +2 more
semanticscholar +1 more source
Concentration behavior of semiclassical solutions for Hamiltonian elliptic system
Advances in Nonlinear Analysis, 2020 In this paper, we study the following nonlinear Hamiltonian elliptic system with gradient ...
Zhang Jian +3 more
doaj +1 more source
On the eigengraph for p-biharmonic equations with Rellich potentials and weight
, 2020 Using a variational technique and inequality of Hardy-Rellich, we prove the existence of infinitely many eigencurve sequences of the p-biharmonic operator involving a Rellich potentials. A variational formulation of the first curve (eigengraph) is given.
A. E. Khalil +3 more
semanticscholar +1 more source
Steklov problems for the p−Laplace operator involving Lq-norm
Moroccan Journal of Pure and Applied Analysis, 2022 In this paper, we are concerned with the study of the spectrum for the nonlinear Steklov problem of the form {Δpu=|u|p-2uin Ω,|∇u|p-2∂u∂v=λ‖u‖q,∂Ωp-q|u|q-2uon ∂Ω,\left\{ {\matrix{{{\Delta _p}u = {{\left| u \right|}^{p - 2}}u} \hfill & {{\rm{in}}\,\Omega ,
Alaoui My Driss Morchid +2 more
doaj +1 more source