Results 91 to 100 of about 2,592,777 (103)
, 2019 In this paper we study the Palais–Smale sequences of the conformal Dirac–Einstein problem. After we characterize the bubbling phenomena, we prove an Aubin type result leading to the existence of a positive solution.
Martino, Vittorio, Maalaoui, Ali
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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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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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Palais-Smale sequences for the prescribed Ricci curvature functional
, 2023 We obtain a complete description of divergent Palais-Smale sequences for the prescribed Ricci curvature functional on compact homogeneous spaces. As an application, we prove the existence of saddle points on generalized Wallach spaces and several types ...
Ziller, Wolfgang, Pulemotov, Artem
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A Palais-Smale approach to Sobolev subcritical operators
, 2002 In this article, we use Palais-Smale approaches to describe the achieved and nonachieved domains. We characterizes the achieved domain by the existence of a ground state solution for the energy functional $J$ in $\Omega$
Lin, Huei-li +2 more
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A Linear Perturbed Palais-Smale Condition for Lower Semicontinuous Functions on Banach Spaces [PDF]
, 2007 本文首先回顾了变分原理，最优化，扰动优化，扰动强优化和P-S条件发展的历史过程，从而自然引入了线性扰动P-S条件的概念。接着对本文所要用到的基本概念作了一个简单的介绍，最后通过强暴露点，强暴露泛函和非凸函数凸化的方法给出了本文主要定理的证明。 主要结果如下：1.举例说明了线性扰动P-S条件严格弱于P-S条件；2.给出了定义在具有RNP的Banach空间上有下界的下半连续函数的线性扰动P-S条件成立的特征条件。In this paper, we discuss linear perturbed ...
左麦芳
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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
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A PALAIS–SMALE APPROACH TO SOBOLEV SUBCRITICAL OPERATORS
, 2010 [[abstract]]In this article, we use Palais–Smale approaches to describe the achieved and nonachieved domains. We characterizes the achieved domain by the existence of a ground state solution for the energy functional J in.[[fileno]]2010234010005 ...
Huei-li Lin;Hwai-chiuan Wang;Tsung-fang Wu
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Electronic Journal of Differential Equations, 2006 In this work we study the existence of a positive solutions to the non homogeneous equation $$ Delta( |Delta u|^{p-2} Delta u) = m |u|^{q-2}u $$ with Navier boundary conditions, where $1 less than ,q less than p_2^*$ and $min L^infty(Omega)setminus {0}$,
Mohamed Talbi, Najib Tsouli
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Existence d’une branche de bifurcation d’une classe d’opérateurs potentiels
, 2019 Dans ce mémoire, nous avons étudié les points de bifurcations dans la valeur propre principale d’une classe d’opérateur de gradient possédé la condition de palais-smale. L'existence de la branche de bifurcation s’appuit sur la condition Palais Smale.
LOUIFI, Marwa
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