Results 1 to 10 of about 569 (77)
On the existence of ground state solutions to critical growth problems nonresonant at zero [PDF]
Comptes rendus. Mathematique, 2021 We prove the existence of ground state solutions to critical growth p-Laplacian and fractional pLaplacian problems that are nonresonant at zero. 2020 Mathematics Subject Classification. 35B33, 35J92, 35R11.
K. Perera
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Advanced Nonlinear Studies, 2021 We consider the elliptic quasilinear equation -Δmu=up|∇u|q{-\Delta_{m}u=u^{p}\lvert\nabla u\rvert^{q}} in ℝN{\mathbb{R}^{N}}, q≥m{q\geq m} and p>0{p>0 ...
Bidaut-Véron Marie-Françoise
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Existence of solutions for a nonlinear problem at resonance
Demonstratio Mathematica, 2022 In this work, we are interested at the existence of nontrivial solutions for a nonlinear elliptic problem with resonance part and nonlinear boundary conditions. Our approach is variational and is based on the well-known Landesman-Laser-type conditions.
Haddaoui Mustapha +3 more
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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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Boundary Value Problems, 2013 We provide the existence of a positive solution for the quasilinear elliptic equation −div(a(x,|∇u|)∇u)=f(x,u,∇u) in Ω under the Dirichlet boundary condition.
Mieko Tanaka
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Studia Universitatis Babeş-Bolyai. Mathematica, 2020 In this article, we study the following problem with Navier boundary conditions. ∆(a(x,∆u)) = Fu(x, u, v), in Ω ∆(a(x,∆v)) = Fv(x, u, v), in Ω, u = v = ∆u = ∆v = 0 on ∂Ω.
Belaouidel Hassan +2 more
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Existence of a nontrivial solution for a (p,q)-Laplacian equation with p-critical exponent in RN
Boundary Value Problems, 2014 In this paper we prove the existence of a nontrivial solution in D1,p(RN)∩D1,q(RN) for the following (p,q)-Laplacian problem: {−Δpu−Δqu=λg(x)|u|r−1u+|u|p⋆−2u,u(x)≥0,x∈RN, where ...
M. F. Chaves, G. Ercole, O. Miyagaki
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Lions-type theorem of the p-Laplacian and applications
Advances in Nonlinear Analysis, 2021 In this article, our aim is to establish a generalized version of Lions-type theorem for the p-Laplacian. As an application of this theorem, we consider the existence of ground state solution for the quasilinear elliptic equation with the critical growth.
Su Yu, Feng Zhaosheng
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Positive solutions for (p, q)-equations with convection and a sign-changing reaction
Advances in Nonlinear Analysis, 2021 We consider a nonlinear Dirichlet problem driven by the (p, q)-Laplacian and with a reaction which is dependent on the gradient. We look for positive solutions and we do not assume that the reaction is nonnegative.
Zeng Shengda, Papageorgiou Nikolaos S.
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Multiplicity of positive solutions for eigenvalue problems of (p,2)-equations
Boundary Value Problems, 2012 We consider a nonlinear parametric equation driven by the sum of a p-Laplacian (p>2) and a Laplacian (a (p,2)-equation) with a Carathéodory reaction, which is strictly (p−2)-sublinear near +∞.
L. Gasiński, N. Papageorgiou
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