Results 21 to 30 of about 661 (92)
Parametric singular double phase Dirichlet problems
Advances in Nonlinear Analysis, 2023 We consider a parametric (with two parameters μ,λ>0\mu ,\lambda \gt 0) Dirichlet problem driven by the double phase differential operator and a reaction which has the competing effect of a singular term and of a superlinear perturbation.
Bai Yunru +2 more
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Dirichlet problems involving the Hardy-Leray operators with multiple polars
Advances in Nonlinear Analysis, 2023 Our aim of this article is to study qualitative properties of Dirichlet problems involving the Hardy-Leray operator ℒV≔−Δ+V{{\mathcal{ {\mathcal L} }}}_{V}:= -\Delta +V, where V(x)=∑i=1mμi∣x−Ai∣2V\left(x)={\sum }_{i=1}^{m}\frac{{\mu }_{i}}{{| x-{A}_{i}| }
Chen Huyuan, Chen Xiaowei
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On the local behavior of local weak solutions to some singular anisotropic elliptic equations
Advances in Nonlinear Analysis, 2022 We study the local behavior of bounded local weak solutions to a class of anisotropic singular equations of the kind ∑i=1s∂iiu+∑i=s+1N∂i(Ai(x,u,∇u))=0,x∈Ω⊂⊂RNfor1≤s≤(N−1),\mathop{\sum }\limits_{i=1}^{s}{\partial }_{ii}u+\mathop{\sum }\limits_{i=s+1}^{N}{\
Ciani Simone +2 more
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A functionally-analytic method for modelling axial-symmetric flows of ideal fluid
Demonstratio Mathematica, 2019 We consider axial-symmetric stationary flows of the ideal incompressible fluid as an important case of potential solenoid fields. We use an integral expression of the Stokes flow function via the corresponding complex analytic function for solving a ...
Plaksa Sergiy A.
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Advances in Nonlinear Analysis, 2021 In this paper, we consider a class of semilinear elliptic equation with critical exponent and -1 growth. By using the critical point theory for nonsmooth functionals, two positive solutions are obtained. Moreover, the symmetry and monotonicity properties
Lei Chun-Yu, Liao Jia-Feng
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Positive Radial Solutions for Singular Quasilinear Elliptic Equations in a Ball
, 2014 We establish the existence of positive radial solutions for the boundary value problems { −∆pu = λf(u) in B, u = 0 on ∂B, where ∆pu = div(|∇u|p−2∇u), p ≥ 2, B is the open unit ball R , λ is a positive parameter, and f : (0,∞)→ R is p-superlinear at ∞ and
D. D. Hai
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Nonexistence of positive radial solutions for a problem with singular potential
Advances in Nonlinear Analysis, 2014 This article completes the picture in the study of positive radial solutions in the function space 𝒟1,2(ℝN)∩L2(ℝN,|x|-αdx)∩Lp(ℝN)${{\mathcal {D}^{1,2}({\mathbb {R}^N}) \cap L^2({{\mathbb {R}^N}, | x |^{-\alpha } dx})\cap L^p({\mathbb {R}^N})}}$ for the ...
Catrina Florin
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A singularity as a break point for the multiplicity of solutions to quasilinear elliptic problems
Advances in Nonlinear Analysis, 2020 In this paper we deal with the elliptic ...
López-Martínez Salvador
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On singular quasilinear elliptic equations with data measures
Advances in Nonlinear Analysis, 2021 The aim of this work is to study a quasilinear elliptic equation with singular nonlinearity and data measure. Existence and non-existence results are obtained under necessary or sufficient conditions on the data, where the main ingredient is the ...
Alaa Nour Eddine +2 more
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A CERTAIN EXAMPLE FOR A DE GIORGI CONJECTURE
, 2014 . In this paper, we illustrate a counter example for theconverse of a certain conjecture proposed by De Giorgi. De Giorgisuggested a series of conjectures, in which a certain integral condi-tion for singularity or degeneracy of an elliptic operator is ...
Sungwon Cho
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