Results 21 to 30 of about 98 (89)
Boundary value problem with fractional p-Laplacian operator
Advances in Nonlinear Analysis, 2016 The aim of this paper is to obtain the existence of solution for the fractional p-Laplacian Dirichlet problem with mixed derivatives tDTα(|0Dtαu(t)|p-20Dtαu(t)) = f(t,u(t)), t ∈ [0,T], u(0) = u(T) = 0, where 1/p < α < 1, 1 < p < ∞ and f : [0,T] × ℝ → ℝ ...
Torres Ledesma César
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International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 7, Page 429-438, 2002., 2002 Let H be a Hilbert space such that H = V ⊕ W, where V and W are two closed subspaces of H. We generalize an abstract theorem due to Lazer et al. (1975) and a theorem given by Moussaoui (1990‐1991) to the case where V and W are not necessarily finite dimensional.
H. Boukhrisse, M. Moussaoui
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Boundary value problems of a discrete generalized beam equation via variational methods
Open Mathematics, 2018 The authors explore the boundary value problems of a discrete generalized beam equation. Using the critical point theory, some sufficient conditions for the existence of the solutions are obtained.
Liu Xia, Zhou Tao, Shi Haiping
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Advanced Nonlinear Studies, 2022 In this paper, we consider the following critical fractional magnetic Choquard equation: ε2s(−Δ)A∕εsu+V(x)u=εα−N∫RN∣u(y)∣2s,α∗∣x−y∣αdy∣u∣2s,α∗−2u+εα−N∫RNF(y,∣u(y)∣2)∣x−y∣αdyf(x,∣u∣2)uinRN,\begin{array}{rcl}{\varepsilon }^{2s}{\left(-\Delta )}_{A ...
Jin Zhen-Feng +2 more
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On the existence of solutions to a fourth‐order quasilinear resonant problem
Abstract and Applied Analysis, Volume 7, Issue 3, Page 125-133, 2002., 2002 By means of Morse theory we prove the existence of a nontrivial solution to a superlinear p‐harmonic elliptic problem with Navier boundary conditions having a linking structure around the origin. Moreover, in case of both resonance near zero and nonresonance at +∞ the existence of two nontrivial solutions is shown.
Shibo Liu, Marco Squassina
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A version of Zhong′s coercivity result for a general class of nonsmooth functionals
Abstract and Applied Analysis, Volume 7, Issue 11, Page 601-612, 2002., 2002 A version of Zhong′s coercivity result (1997) is established for nonsmooth functionals expressed as a sum Φ + Ψ, where Φ is locally Lipschitz and Ψ is convex, lower semicontinuous, and proper. This is obtained as a consequence of a general result describing the asymptotic behavior of the functions verifying the above structure hypothesis.
D. Motreanu, V. V. Motreanu, D. Paşca
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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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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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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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