Results 21 to 30 of about 76 (75)
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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Convexity Property of Finsler Infinity Harmonic Functions
International Journal of Differential Equations, Volume 2024, Issue 1, 2024.In this paper, we investigate the convexity property of viscosity solutions to a homogeneous normalized Finsler infinity Laplacian equation. Weak and strong forms for convexity property have been addressed.
Benyam Mebrate, Sining Zheng
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A uniqueness result for the fractional Schrödinger-Poisson system with strong singularity
Open MathematicsThis article considers existence of solution for a class of fractional Schrödinger-Poisson system. By using the Nehari method and the variational method, we obtain a uniqueness result for positive solutions.
Wang Li +4 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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Fractional Dirichlet problems with singular and non-locally convective reaction
Advances in Nonlinear AnalysisIn this article, the existence of positive weak solutions to a Dirichlet problem driven by the fractional (p,q)\left(p,q)-Laplacian and with reaction both weakly singular and non-locally convective (i.e., depending on the distributional Riesz gradient of
Gambera Laura, Marano Salvatore A.
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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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Multiplicity of k-convex solutions for a singular k-Hessian system
Demonstratio MathematicaIn this article, we study the following nonlinear kk-Hessian system with singular weights Sk1k(σ(D2u1))=λb(∣x∣)f(−u1,−u2),inΩ,Sk1k(σ(D2u2))=λh(∣x∣)g(−u1,−u2),inΩ,u1=u2=0,on∂Ω,\left\{\begin{array}{ll}{S}_{k}^{\frac{1}{k}}(\sigma ({D}^{2}{u}_{1}))=\lambda ...
Yang Zedong, Bai Zhanbing
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 Let Ω be a bounded domain in with smooth boundary, and let 𝓧1; 𝓧2; · · ·, 𝓧m be points in Ω. We are concerned with the singular stationary non-homogenous q-Kuramoto-Sivashinsky eaquation (q-KSE:
Ouni Taieb +2 more
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The Moving Plane Method for Doubly Singular Elliptic Equations Involving a First-Order Term
Advanced Nonlinear Studies, 2021 In this paper we deal with positive singular solutions to semilinear elliptic problems involving a first-order term and a singular nonlinearity. Exploiting a fine adaptation of the well-known moving plane method of Alexandrov–Serrin and a careful choice ...
Esposito Francesco, Sciunzi Berardino
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Moroccan Journal of Pure and Applied Analysis, 2017 In this paper, we give a priori estimates near the boundary for solutions of a degenerate elliptic problems in the general Besov-type spaces Bp,qs,τ$B_{p,q}^{s,\tau }$, containing as special cases: Goldberg space bmo, local Morrey-Campanato spaces l2,λ ...
El Baraka Azzeddine, Masrour Mohammed
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