Results 1 to 10 of about 81 (76)
On eigenvalue problems governed by the (p,q)-Laplacian [PDF]
, 2023 This is a survey on recent results, mostly of the authors, regarding eigenvalue problems governed by the (p, q)−Laplacian and related open problems. Mathematics Subject Classification (2010): 35J60, 35J92, 35P30.
BARBU, Lumini¸ta +3 more
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Eigenvalues for anisotropic p−Laplacian under a Steklov-like boundary condition [PDF]
, 2021 The eigenvalue problem −div (1p∇ξ(Fp(∇u))=λa(x)∣u∣q−2u, with $q\in (1, \infty),~ p\in \Big(\frac{Nq}{N+q-1}, \infty\Big),~ p\neq q,$ subject to Steklov-like boundary condition, Fp−1(∇u)∇ξF(∇u)⋅ν=λb(x)∣u∣q−2u is investigated on a bounded Lipschitz domain $
BARBU, Luminița
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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 and multiplicity of solutions to the Navier boundary value problem for a class of (p(x), q(x))-biharmonic systems [PDF]
, 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.
TSOULI, Najib +2 more
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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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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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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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Existence and multiplicity of solutions for a quasilinear system with locally superlinear condition
Advances in Nonlinear Analysis, 2023 We investigate the existence and multiplicity of weak solutions for a nonlinear Kirchhoff type quasilinear elliptic system on the whole space RN{{\mathbb{R}}}^{N}. We assume that the nonlinear term satisfies the locally super-(m1,m2)\left({m}_{1},{m}_{2})
Liu Cuiling, Zhang Xingyong
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Normalized solutions for the p-Laplacian equation with a trapping potential
Advances in Nonlinear Analysis, 2023 In this article, we are concerned with normalized solutions for the pp -Laplacian equation with a trapping potential and Lr{L}^{r}-supercritical growth, where r=pr=p or 2.2.
Wang Chao, Sun Juntao
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Existence of solutions for a p-Laplacian Kirchhoff type problem with nonlinear term of superlinear and subcritical growth [PDF]
, 2022 This paper is concerned by the study of the existence of nonnegative and nonpositive solutions for a nonlocal quasilinear Kirchhoff problem by using the Mountain Pass lemma technique.
TOUFIK, Moussaoui, IMANE, Melzi
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