Results 41 to 50 of about 112 (88)
Infinitely many normalized solutions for Schrödinger equations with local sublinear nonlinearity
Demonstratio MathematicaIn this article, we investigate the following Schrödinger equation: −Δu=h(x)g(u)+λuinRN,∫RN∣u∣2dx=au∈H1(RN),\left\{\begin{array}{ll}-\Delta u=h\left(x)g\left(u)+\lambda u\hspace{1.0em}& \hspace{-0.2em}\text{in}\hspace{0.1em}\hspace{0.33em}{{\mathbb{R}}}^{
Xu Qin, Li Gui-Dong
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Existence results for nonlinear degenerate elliptic equations with lower order terms
Advances in Nonlinear Analysis, 2020 In this paper, we prove the existence and regularity of solutions of the homogeneous Dirichlet initial-boundary value problem for a class of degenerate elliptic equations with lower order terms. The results we obtained here, extend some existing ones of [
Zou Weilin, Li Xinxin
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Advances in Nonlinear AnalysisIn this article, we study the following fractional Kirchhoff-type problems with critical and sublinear nonlinearities: a+b∬RN×RN∣u(x)−u(y)∣2∣x−y∣N+2sdxdy(−Δ)su=λuq−1+u2s*−1,u>0,inΩ,u=0,inRN\Ω,∫RNu2dx=c2,\left\{\begin{array}{l}\left(a+b\mathop{\iint ...
Tian Junshan, Zhang Binlin
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The structure of 𝓐-free measures revisited
Advances in Nonlinear Analysis, 2020 We refine a recent result on the structure of measures satisfying a linear partial differential equation 𝓐μ = σ, μ, σ are Radon measures, considering the measure μ(x) = g(x)dx + μus(x̃)(μs(x̄) + dx̄) where x = (x̃,x̄) ∈ ℝk × ℝd−k, μus is a uniformly ...
Mitrovic D., Vujadinović Dj.
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Quasilinear Dirichlet problems with competing operators and convection
Open Mathematics, 2020 The paper deals with a quasilinear Dirichlet problem involving a competing (p,q)-Laplacian and a convection term. Due to the lack of ellipticity, monotonicity and variational structure, the known methods to find a weak solution are not applicable.
Motreanu Dumitru
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Global existence and finite-time blowup for a mixed pseudo-parabolic r(x)-Laplacian equation
Advances in Nonlinear AnalysisThis article is devoted to the study of the initial boundary value problem for a mixed pseudo-parabolic r(x)r\left(x)-Laplacian-type equation. First, by employing the imbedding theorems, the theory of potential wells, and the Galerkin method, we ...
Cheng Jiazhuo, Wang Qiru
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Combined effects of Choquard and singular nonlinearities in fractional Kirchhoff problems
Advances in Nonlinear Analysis, 2020 The aim of this paper is to study the existence and multiplicity of solutions for a class of fractional Kirchho problems involving Choquard type nonlinearity and singular nonlinearity.
Wang Fuliang, Hu Die, Xiang Mingqi
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Advances in Nonlinear Analysis, 2020 We study a phase field model proposed recently in the context of tumour growth. The model couples a Cahn–Hilliard–Brinkman (CHB) system with an elliptic reaction-diffusion equation for a nutrient.
Ebenbeck Matthias, Lam Kei Fong
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On Weak Solutions to Parabolic Problem Involving the Fractional p-Laplacian via Young Measures
Annales Mathematicae SilesianaeIn this paper, we study the local existence of weak solutions for parabolic problem involving the fractional p-Laplacian. Our technique is based on the Galerkin method combined with the theory of Young measures.
Talibi Ihya +3 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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