Normalized solutions for the p-Laplacian equation with a trapping potential
Advances in Nonlinear Analysis, 2023 In this article, we are concerned with normalized solutions for the pp -Laplacian equation with a trapping potential and Lr{L}^{r}-supercritical growth, where r=pr=p or 2.2.
Wang Chao, Sun Juntao
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Global bifurcation of coexistence states for a prey-predator model with prey-taxis/predator-taxis
Advanced Nonlinear Studies, 2023 This article is concerned with the stationary problem for a prey-predator model with prey-taxis/predator-taxis under homogeneous Dirichlet boundary conditions, where the interaction is governed by a Beddington-DeAngelis functional response.
Li Shanbing, Wu Jianhua
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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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Topological degree methods for a nonlinear elliptic system with variable exponents [PDF]
In this paper, we consider the existence of a distributional solution for nonlinear elliptic system governed by (p(x),q(x))-Laplacian operators. We show that the system has at least one solution by using the topological degree theory. Our results improve
FEKRACHE, Abdelhak, LECHEHEB, Samira
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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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Operators with Polynomial Coefficients and Generalized Gelfand-Shilov Classes [PDF]
, 2012 2010 Mathematics Subject Classification: Primary 35S05, 35J60; Secondary 35A20, 35B08, 35B40.We study the problem of the global regularity for linear partial differential operators with polynomial coefficients.
De Donno, Giuseppe +3 more
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