Results 31 to 40 of about 292 (78)
Regularity of minimizers for double phase functionals of borderline case with variable exponents
Advances in Nonlinear AnalysisThe aim of this article is to study regularity properties of a local minimizer of a double phase functional of type ℱ(u)≔∫Ω(∣Du∣p(x)+a(x)∣Du∣p(x)log(e+∣Du∣))dx,{\mathcal{ {\mathcal F} }}\left(u):= \mathop{\int }\limits_{\Omega }({| Du| }^{p\left(x)}+a ...
Ragusa Maria Alessandra +1 more
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Multiple solutions for weighted Kirchhoff equations involving critical Hardy-Sobolev exponent
Advances in Nonlinear Analysis, 2020 In this article, we consider a class of Kirchhoff equations with critical Hardy-Sobolev exponent and indefinite nonlinearity, which has not been studied in the literature. We prove very nicely that this equation has at least two solutions in ℝ3. And some
Shen Zupei, Yu Jianshe
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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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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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On the removability of isolated singular points for elliptic equations involving variable exponent
Advances in Nonlinear Analysis, 2016 In this paper, we study the problem of removable isolated singularities for elliptic equations with variable exponents. We give a sufficient condition for removability of the isolated singular point for the equations in W1,p(x)(Ω)${W^{1,p(x)}(\Omega )}$.
Fu Yongqiang, Shan Yingying
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Anisotropic problems with unbalanced growth
Advances in Nonlinear Analysis, 2020 The main purpose of this paper is to study a general class of (p, q)-type eigenvalues problems with lack of compactness. The reaction is a convex-concave nonlinearity described by power-type terms.
Alsaedi Ahmed, Ahmad Bashir
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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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Advances in Nonlinear Analysis, 2019 In this paper, we consider the nonlinear eigenvalue problem:
Khalil Abdelouahed El +3 more
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Existence of Classical Solutions for Nonlinear Elliptic Equations with Gradient Terms. [PDF]
Entropy (Basel), 2022 Li Y, Ma W.
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