Results 41 to 50 of about 685 (102)
Semilinear elliptic equations having asymptotic limits at zero and infinity
Abstract and Applied Analysis, Volume 4, Issue 4, Page 231-242, 1999., 1999 We obtain nontrivial solutions for semilinear elliptic boundary value problems having resonance both at zero and at infinity, when the nonlinear term has asymptotic limits.
Kanishka Perera, Martin Schechter
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Existence and multiplicity results for fractional p(x)-Laplacian Dirichlet problem
Moroccan Journal of Pure and Applied Analysis, 2022 In this paper, we study a class of fractional p(x)-Laplacian Dirichlet problems in a bounded domain with Lipschitz boundary. Using variational methods, we prove in different situations the existence and multiplicity of solutions.
Chakrone O. +3 more
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Infinitely many weak solutions for a fourth-order equation with nonlinear boundary conditions
Miskolc Mathematical Notes, 2019 Existence results of infinitely many solutions for a fourth-order differential equation are established. This equation depends on two real parameters. The approach is based on an infinitely many critical points theorem.
M. R. H. Tavani, M. Khodabakhshi
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Rotationally invariant periodic solutions of semilinear wave equations
Abstract and Applied Analysis, Volume 3, Issue 1-2, Page 171-180, 1998., 1998 Under suitable conditions we are able to solve the semilinear wave equation in any dimension. We are also able to compute the essential spectrum of the linear wave operator for the rotationally invariant periodic case.
Martin Schechter
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Abstract and Applied Analysis, Volume 3, Issue 1-2, Page 181-189, 1998., 1998 We generalize the notion of local linking to include certain cases where the functional does not have a local splitting near the origin. Applications to second‐order Hamiltonian systems are given.
Kanishka Perera
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Leray-Schauder’s solution for a nonlocal problem in a fractional Orlicz-Sobolev space
Moroccan Journal of Pure and Applied Analysis, 2020 Via Leray-Schauder’s nonlinear alternative, we obtain the existence of a weak solution for a nonlocal problem driven by an operator of elliptic type in a fractional Orlicz-Sobolev space, with homogeneous Dirichlet boundary conditions.
Boumazourh Athmane, Srati Mohammed
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Multiple solutions for Neumann systems in an Orlicz-Sobolev space setting
, 2017 In this paper, the authors improve some results on the existence of at least three weak solutions for non-homogeneous systems. The proof of the main result relies on a recent variational principle due to Ricceri.
G. Afrouzi, J. Graef, S. Shokooh
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Eigencurves of the p(·)-Biharmonic operator with a Hardy-type term
Moroccan Journal of Pure and Applied Analysis, 2020 This paper is devoted to the study of the homogeneous Dirichlet problem for a singular nonlinear equation which involves the p(·)-biharmonic operator and a Hardy-type term that depend on the solution and with a parameter λ.
Laghzal Mohamed +3 more
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Multiple nontrivial solutions of superlinear fractional Laplace equations without (AR) condition
Advances in Nonlinear Analysis, 2023 In this article, we study a class of nonlinear fractional Laplace problems with a parameter and superlinear nonlinearity (−Δ)su=λu+f(x,u),inΩ,u=0,inRN\Ω.\left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{array}{ll}{\left(-\Delta )}^{s}u=\lambda u+f\left(x,u ...
Zhao Leiga, Cai Hongrui, Chen Yutong
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Critical groups of critical points produced by local linking with applications
Abstract and Applied Analysis, Volume 3, Issue 3-4, Page 437-446, 1998., 1998 We prove the existence of nontrivial critical points with nontrivial critical groups for functionals with a local linking at 0. Applications to elliptic boundary value problems are given.
Kanishka Perera
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