Results 31 to 40 of about 440 (168)
Multiple Solutions of a Nonlocal Problem with Nonlinear Boundary Conditions
Discrete Dynamics in Nature and SocietyIn this article, we consider a class of nonlocal p(x)-Laplace equations with nonlinear boundary conditions. When the nonlinear boundary involves critical exponents, using the concentration compactness principle, mountain pass lemma, and fountain theorem,
Jie Liu, Qing Miao
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Modeling angiogenesis under Robin boundary conditions. [PDF]
Quant BiolAbstract In this study, we show an example of a numerical model based on the Keller–Segel system of equations to simulate angiogenesis in response to chemotaxis under Robin boundary conditions, which represent the presence of flux at the tumor. Different parameters of the model are modified to identify key biological factors relevant to the behavior of
Álvarez-Caudevilla P +2 more
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A generalized mountain pass lemma with a closed subset for locally Lipschitz functionals [PDF]
Applicable Analysis, 2021 arXiv admin note: text overlap with arXiv:1405 ...
Li, Fengying +2 more
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Open Mathematics, 2023 The main purpose is to establish the variational structure of a fourth-order ordinary differential system with both instantaneous and non-instantaneous impulses.
Xia Minggang +2 more
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Existence and multiplicity of solutions for a new p(x)-Kirchhoff problem with variable exponents
Open Mathematics, 2023 In this article, we study a class of new p(x)-Kirchhoff problem without satisfying the Ambrosetti-Rabinowitz type growth condition. Under some suitable superliner conditions, we introduce new methods to show the boundedness of Cerami sequences.
Chu Changmu, Xie Yanling, Zhou Dizhi
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Subcritical perturbations of resonant linear problems with sign-changing potential
Electronic Journal of Differential Equations, 2005 We establish existence and multiplicity theorems for a Dirichlet boundary-value problem at resonance. This problem is a nonlinear subcritical perturbation of a linear eigenvalue problem studied by Cuesta, and includes a sign-changing potential. We obtain
Teodora-Liliana Dinu
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On certain nonlinear elliptic systems with indefinite terms
Electronic Journal of Differential Equations, 2002 We consider an elliptic quasi linear systems with indefinite term on a bounded domain. Under suitable conditions, existence and positivity results for solutions are given. Submitted April 2, 2002. Published October 2, 2002.
Ahmed Bensedik, Mohammed Bouchekif
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A bounded mountain pass lemma without the (PS) condition and applications [PDF]
Transactions of the American Mathematical Society, 1992 The author's generalization of the fundamental mountain pass lemma is the following: Theorem. Let \(G(u)\in C^ 1(H,R^ 1)\), \(u_ k\) converging weakly to \(u\), \(| G(u_ k)|\leq c\), \(G'(u_ k)\to 0\), imply that \(G'(u)=0\). Assume that \(H=N\oplus M\), \(\dim N0\), such that \[ c_ 0\equiv\max_{bdy\{v\in N\mid\| v\|\leq R_ 0\}}G0 ...
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Some Applications of Generalized Mountain Pass Lemma
, 2014 The Ghoussoub-Preiss's generalized Mountain Pass Lemma with Cerami-Palais-Smale type condition is a generalization of classical MPL of Ambrosetti-Rabinowitz, we apply it to study the existence of the periodic solutions with a given energy for some second order Hamiltonian systems with symmetrical and non-symmetrical potentials.
Li, Fengying, Li, Bingyu, Zhang, Shiqing
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, 1985 Some variants of one of the main results in critical point theory, namely the mountain pass lemma by A. Ambrosetti and P. H. Rabinowitz [J. Funct. Anal. 14 (1973), 349-381], are proved in this paper. In this paper we prove that if X is finite-dimensional,
Serrin, James +2 more
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