Results 11 to 20 of about 2,421 (92)
Perturbation results for some nonlinear equations involving fractional operators [PDF]
arXiv, 2012 By using a perturbation technique in critical point theory, we prove the existence of solutions for two types of nonlinear equations involving fractional differential operators.Comment: 14 ...
Secchi, Simone
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On the Asymptotic Behavior of D-Solutions to the Displacement Problem of Linear Elastostatics in Exterior Domains [PDF]
, 2020 We study the asymptotic behavior of solutions with finite energy to the displacement problem of linear elastostatics in a three-dimensional exterior Lipschitz ...
Coscia, Vincenzo
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Landesman-Lazer condition revisited: the influence of vanishing and oscillating nonlinearities [PDF]
, 2015 In this paper we deal with semilinear problems at resonance. We present a sufficient condition for the existence of a weak solution in terms of the asymptotic properties of nonlinearity.
Drabek, Pavel, Langerova, Martina
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A Dirichlet problem with asymptotically linear and changing sign nonlinearity [PDF]
, 2003 This paper deals with the problem of finding positive solutions to the equation ¡¢u = g(x; u) on a bounded domain ; with Dirichlet boundary conditions. The function g can change sign and has asymptotically linear behaviour.
Lucia, Marcello +2 more
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On a version of Trudinger-Moser inequality with M\"obius shift invariance [PDF]
, 2009 The paper raises a question about the optimal critical nonlinearity for the Sobolev space in two dimensions, connected to loss of compactness, and discusses the pertinent concentration compactness framework. We study properties of the improved version of
Adimurthi, Tintarev, K.
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A Generalized Version of the Lions-Type Lemma
Annales Mathematicae Silesianae, 2023 In this short paper, I recall the history of dealing with the lack of compactness of a sequence in the case of an unbounded domain and prove the vanishing Lions-type result for a sequence of Lebesgue-measurable functions.
Chmara Magdalena
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Advances in Nonlinear Analysis, 2018 In this paper, we concern ourselves with the following Kirchhoff-type equations:
Xu Li-Ping, Chen Haibo
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Multiple solutions for a Kirchhoff-type equation with general nonlinearity
Advances in Nonlinear Analysis, 2018 This paper is devoted to the study of the following autonomous Kirchhoff-type equation:
Lu Sheng-Sen
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Noncoercive resonant (p,2)-equations with concave terms
Advances in Nonlinear Analysis, 2018 We consider a nonlinear Dirichlet problem driven by the sum of a p-Laplace and a Laplacian (a (p,2){(p,2)}-equation). The reaction exhibits the competing effects of a parametric concave term plus a Caratheodory perturbation which is resonant with respect
Papageorgiou Nikolaos S., Zhang Chao
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Open Mathematics, 2021 In this study, we consider the following quasilinear Choquard equation with singularity −Δu+V(x)u−uΔu2+λ(Iα∗∣u∣p)∣u∣p−2u=K(x)u−γ,x∈RN,u>0,x∈RN,\left\{\begin{array}{ll}-\Delta u+V\left(x)u-u\Delta {u}^{2}+\lambda \left({I}_{\alpha }\ast | u{| }^{p})| u{| }
Shao Liuyang, Wang Yingmin
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