On the Evolution of Regularized Dirac-Harmonic Maps from Closed Surfaces. [PDF]
Results Math, 2020 Branding V.
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Multiplicity of solutions for a class of elliptic systems in $R^N$
Electronic Journal of Differential Equations, 2006 This article concerns the multiplicity of solutions for the system of equations $$displaylines{ -Delta u + V(epsilon x)u = alpha |u|^{alpha-2}u|v|^{eta}, cr -Delta v + V(epsilon x)v = eta |u|^{alpha}|v|^{eta-2}v }$$ in $mathbb{R}^N$, where $V$ is a ...
Giovany M. Figueiredo
doaj
Infinitely Many Solutions for Schrödinger–Poisson Systems and Schrödinger–Kirchhoff Equations
MathematicsBy applying Clark’s theorem as altered by Liu and Wang and the truncation method, we obtain a sequence of solutions for a Schrödinger–Poisson system −Δu+V(x)u+ϕu=f(u)inR3,−Δϕ=u2inR3 with negative energy.
Shibo Liu
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Solutions to perturbed eigenvalue problems of the p-Laplacian in RN
Electronic Journal of Differential Equations, 1997 Using a variational approach, we investigate the existence of solutions for non-autonomous perturbations of the p-Laplacian eigenvalue problem $$ -Delta _pu=f(x,u)quad { m in}quad {Bbb R}^N,. $$ Under the assumptions that the primitive $F(x,u)$ of $f(x,u)
Joao Marcos Do O
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Erratum to: "On a functional satisfying a weak Palais-Smale condition"
Discrete and Continuous Dynamical Systems, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Existence of solutions for p-Kirchhoff type problems with critical exponent
Electronic Journal of Differential Equations, 2011 We study the existence of solutions for the p-Kirchhoff type problem involving the critical Sobolev exponent, $$displaylines{ -Big[gBig(int_Omega|abla u|^pdxBig)Big]Delta_pu =lambda f(x,u)+|u|^{p^star-2}uquadext{in }Omega,cr u=0quadext{on ...
Ahmed Hamydy +2 more
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A deformation theorem in the noncompact nonsmooth setting and its applications
Electronic Journal of Differential Equations, 2001 We build a deformation for a continuous functional defined on a Banach space and invariant with respect to an isometric action of a noncompact group. Under these assumptions the Palais-Smale condition does not hold.
Gianni Arioli
doaj
Palais-Smale Condition, Index Pairs and Critical Point Theory
, 2000 This paper is concerned with index pairs in the sense of Conley index theory for flows relative to pseudo-gradient vector fields for $C^1$-functions satisfying Palais-Smale condition. We prove a deformation theorem for such index pairs to obtain a Lusternik-Schnirelmann type result in Conley index theory.
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On the Palais-Smale condition in geometric knot theory
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Freches, Nicolas +3 more
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Infinitely many homoclinic solutions for second order nonlinear difference equations with p-Laplacian. [PDF]
ScientificWorldJournal, 2014 Sun G, Mai A.
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