Results 21 to 30 of about 1,002 (168)
Existence of Positive Solutions of Semilinear Biharmonic Equations
Abstract and Applied Analysis, 2014 This paper is concerned with the existence of positive solutions of semilinear biharmonic problem whose associated functionals do not satisfy the Palais-Smale condition.
Yajing Zhang, Yinmei Lü, Ningning Wang
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Advanced Nonlinear Studies, 2020 In this paper we establish a new critical point theorem for a class of perturbed differentiable functionals without satisfying the Palais–Smale condition.
Bahrouni Anouar +2 more
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Bifurcation of Gradient Mappings Possessing the Palais-Smale Condition [PDF]
, 2020 This paper considers bifurcation at the principal eigenvalue of a class of gradient operators which possess the Palais-Smale condition. The existence of the bifurcation branch and the asymptotic nature of the bifurcation is verified by using the ...
Elliot Tonkes
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Sensitivity of a Fractional Integrodifferential Cauchy Problem of Volterra Type
Abstract and Applied Analysis, 2013 We prove a theorem on the existence and uniqueness of a solution as well as on a sensitivity (i.e., differentiable dependence of a solution on a functional parameter) of a fractional integrodifferential Cauchy problem of Volterra type.
Dariusz Idczak +2 more
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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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A note on Palais-Smale condition and coercivity
Differential and Integral Equations, 1990 It has been observed [the second author, An existence theorem on multiple critical points and its applications in nonlinear P.D.E., in Differential geometry and differential equations, Proc. Symp., Changchun/China 1982, 479-483 (1986); the third author, An introduction to critical point theory (1988)] that, for a \(C^ 1\) function \(\varphi\) bounded ...
Čaklović, L., Li, Shu Jie, Willem, M.
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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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(N,q)$(N,q)$‐Laplacian equations with one‐sided critical exponential growth
Mathematische Nachrichten, Volume 299, Issue 3, Page 675-698, March 2026.Abstract We prove the existence of two non‐trivial weak solutions for a class of quasilinear, non‐homogeneous elliptic problems driven by the (N,q)$(N,q)$‐Laplacian with one‐sided critical exponential growth in a bounded domain Ω⊂RN$\Omega \subset \mathbb {R}^{N}$. The first solution is obtained as a local minimizer of the associated energy functional;
Elisandra Gloss +2 more
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