Results 61 to 70 of about 2,503 (90)
On a nonlinear Robin problem with an absorption term on the boundary and L1 data
Advances in Nonlinear AnalysisWe deal with existence and uniqueness of nonnegative solutions to: −Δu=f(x),inΩ,∂u∂ν+λ(x)u=g(x)uη,on∂Ω,\left\{\begin{array}{ll}-\Delta u=f\left(x),\hspace{1.0em}& \hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}\Omega ,\\ \frac{\partial u}{\partial ...
Pietra Francesco Della +2 more
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Advances in Nonlinear Analysis, 2018 In this paper, we prove the gradient estimate for renormalized solutions to quasilinear elliptic equations with measure data on variable exponent Lebesgue spaces with BMO coefficients in a Reifenberg flat domain.
Bui The Anh
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Advances in Nonlinear Analysis, 2020 We consider a nonlinear elliptic equation driven by the (p, q)–Laplacian plus an indefinite potential. The reaction is (p − 1)–superlinear and the boundary term is parametric and concave.
Papageorgiou Nikolaos S., Zhang Youpei
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Generalized Liouville theorem for viscosity solutions to a singular Monge-Ampère equation
Advances in Nonlinear Analysis, 2023 In this article, we study the asymptotic behaviour at infinity for viscosity solutions to a singular Monge-Ampère equation in half space from affine geometry.
Jian Huaiyu, Wang Xianduo
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Examples of non-isolated blow-up for perturbations of the scalar curvature equation on non locally conformally flat manifolds [PDF]
, 2014 Solutions to scalar curvature equations have the property that all possible blow-up points are isolated, at least in low dimensions. This property is commonly used as the first step in the proofs of compactness. We show that this result becomes false for
Robert, Frédéric, Vétois, Jérôme
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Advances in Nonlinear Analysis, 2019 In this paper, we consider the nonlinear eigenvalue problem:
Khalil Abdelouahed El +3 more
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FREDHOLM AND PROPERNESS PROPERTIES OF QUASILINEAR ELLIPTIC SYSTEMS OF SECOND ORDER [PDF]
, 2017 For a large class of subsets $\varOmega\subset\mathbb{R}^{N}$ (including unbounded domains), we discuss the Fredholm and properness properties of second-order quasilinear elliptic operators viewed as mappings from $W^{2,p}(\varOmega;\mathbb{R}^{m})$ to ...
Gebran, Hicham G., Stuart, Charles A.
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Nontrivial solutions to the p-harmonic equation with nonlinearity asymptotic to |t|p–2t at infinity
Advances in Nonlinear Analysis, 2021 We consider the following p-harmonic ...
He Qihan, Lv Juntao, Lv Zongyan
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A compactness result for a Gelfand-Liouville system with Lipschitz condition
, 2015 We give a quantization analysis to an elliptic system (Gelfand-Liouville type system) with Dirichlet condition.
Bahoura, Samy Skander
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Existence and multiplicity of solutions for a new p(x)-Kirchhoff equation
Advances in Nonlinear AnalysisThis article is devoted to study a class of new p(x)p\left(x)-Kirchhoff equation. By means of perturbation technique, variational method, and the method invariant sets for the descending flow, the existence and multiplicity of solutions to this problem ...
Chu Changmu, Liu Jiaquan
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