Results 21 to 30 of about 338 (66)
Nonlinear singular problems with indefinite potential term
, 2020 We consider a nonlinear Dirichlet problem driven by a nonhomogeneous differential operator plus an indefinite potential. In the reaction we have the competing effects of a singular term and of concave and convex nonlinearities.
Papageorgiou, Nikolaos S. +2 more
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A note on the complete rotational invariance of biradial solutions to semilinear elliptic equations [PDF]
, 2010 We investigate symmetry properties of solutions to equations of the form $$ -\Delta u = \frac{a}{|x|^2} u + f(|x|, u)$$ in R^N for $N \geq 4$, with at most critical nonlinearities.
Abatangelo, L., Terracini, S.
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On the eigenvalues of Aharonov-Bohm operators with varying poles [PDF]
, 2013 We consider a magnetic operator of Aharonov-Bohm type with Dirichlet boundary conditions in a planar domain. We analyse the behavior of its eigenvalues as the singular pole moves in the domain.
Bonnaillie-Noël, Virginie +3 more
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Asymptotic behavior and uniqueness of boundary blow-up solutions to elliptic equations [PDF]
, 2014 In this paper, under some structural assumptions of weight function $b(x)$ and nonlinear term $f(u)$, we establish the asymptotic behavior and uniqueness of boundary blow-up solutions to semilinear elliptic equations \begin{equation*} \begin{cases ...
Tian, Qiaoyu, Xu, Yonglin
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On double phase Kirchhoff problems with singular nonlinearity
Advances in Nonlinear Analysis, 2023 In this paper, we study multiplicity results for double phase problems of Kirchhoff type with right-hand sides that include a parametric singular term and a nonlinear term of subcritical growth.
Arora Rakesh +3 more
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An elliptic system with logarithmic nonlinearity
Advances in Nonlinear Analysis, 2017 In the present paper, we study the existence of solutions for some classes of singular systems involving the Δp(x){\Delta_{p(x)}} and Δq(x){\Delta_{q(x)}} Laplacian operators. The approach is based on bifurcation theory and the sub-supersolution method
Alves Claudianor +2 more
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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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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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The existence of positive solutions for Kirchhoff-type problems via the sub-supersolution method
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 In this paper we discuss the existence of a solution between wellordered subsolution and supersolution of the Kirchhoff equation. Using the sub-supersolution method together with a Rabinowitz-type global bifurcation theory, we establish the existence of ...
Yan Baoqiang +2 more
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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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