Results 11 to 20 of about 104 (91)
[Retracted] Nonlinear eigenvalue problems in Sobolev spaces with variable exponent
Journal of Function Spaces, Volume 4, Issue 3, Page 225-242, 2006., 2006 We study the boundary value problem −div?((|?u|p1(x)−2 + |?u|p2(x)−2)?u) = f(x, u) in O, u = 0 on ?O, where O is a smooth bounded domain in RN. We focus on the cases when f±(x, ??u) = ±(−?|u|m(x)−2u + |u|q(x)−2u), where m(x)?max??{p12(x),p(x)}
Teodora-Liliana Dinu, George Isac
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Species survival versus eigenvalues
Abstract and Applied Analysis, Volume 2004, Issue 2, Page 115-131, 2004., 2004 Mathematical models describing the behavior of hypothetical species in spatially heterogeneous environments are discussed and analyzed using the fibering method devised and developed by S. I. Pohozaev.
Luiz Antonio Ribeiro de Santana +2 more
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Trajectories under a vectorial potential on stationary manifolds
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 23, Page 1481-1495, 2003., 2003 By using variational methods, we study the existence and multiplicity of trajectories under a vectorial potential on (standard) stationary Lorentzian manifolds possibly with boundary.
Rossella Bartolo
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Minimax theorems on C1 manifolds via Ekeland variational principle
Abstract and Applied Analysis, Volume 2003, Issue 13, Page 757-768, 2003., 2003 We prove two minimax principles to find almost critical points of C1 functionals restricted to globally defined C1 manifolds of codimension 1. The proof of the theorems relies on Ekeland variational principle.
Mabel Cuesta
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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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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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Advances in Nonlinear Analysis, 2022 This paper is concerned with existence and concentration properties of ground-state solutions to the following fractional Choquard equation with indefinite potential: (−Δ)su+V(x)u=∫RNA(εy)∣u(y)∣p∣x−y∣μdyA(εx)∣u(x)∣p−2u(x),x∈RN,{\left(-\Delta )}^{s}u+V ...
Zhang Wen, Yuan Shuai, Wen Lixi
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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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