Quasilinear elliptic problems with critical exponents and discontinuous nonlinearities
, 2012 Using a recent fixed point theorem in ordered Banach spaces by S. Carl and S. Heikkila, we study the existence of weak solutions to nonlinear elliptic problems −diva(x,∇u) = f (x,u) in a bounded domain Ω ⊂ Rn with Dirichlet boundary condition.
Phuong Le
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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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, 2013 Mouffak BenchohraUniversit´e de Sidi Bel-Abb`esLaboratoire de Math´ematiques,BP 89, 22000 Sidi Bel-Abb`es, Alg´eriebenchohra@univ-sba.dzFatima-Zohra MostefaiUniversit´e de SaidaD´epartement de Math´ematiques,BP 138 Cit´e Ennasr, 20000, Saida, Alg´erief.z.
M. Benchohra, F. Mostefai
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Maximum principles for Laplacian and fractional Laplacian with critical integrability
, 2019 In this paper, we study maximum principles for Laplacian and fractional Laplacian with critical integrability. We first consider $-\Delta u(x)+c(x)u(x)\geq 0$ in $B_1$ where $c(x)\in L^{p}(B_1)$, $B_1\subset \mathbf{R}^n$. As is known that $p=\frac{n}{2}$
Lü, Yingshu
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Synchronized Tick Population Oscillations Driven by Host Mobility and Spatially Heterogeneous Developmental Delays Combined. [PDF]
Bull Math Biol, 2021 Zhang X, Wu J.
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Existence and uniqueness of solution for a singular elliptic differential equation
Advances in Nonlinear AnalysisIn this article, we are concerned about the existence, uniqueness, and nonexistence of the positive solution for: −Δu−12(x⋅∇u)=μh(x)uq−1+λu−up,x∈RN,u(x)→0,as∣x∣→+∞,\left\{\begin{array}{l}-\Delta u-\frac{1}{2}\left(x\cdot \nabla u)=\mu h\left(x){u}^{q-1}+\
Gu Shanshan, Yang Bianxia, Shao Wenrui
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Direct Estimation of Parameters in ODE Models Using WENDy: Weak-Form Estimation of Nonlinear Dynamics. [PDF]
Bull Math Biol, 2023 Bortz DM, Messenger DA, Dukic V.
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Two solutions for Dirichlet double phase problems with variable exponents
Advanced Nonlinear StudiesThis paper is devoted to the study of a double phase problem with variable exponents and Dirichlet boundary condition. Based on an abstract critical point theorem, we establish existence results under very general assumptions on the nonlinear term, such ...
Amoroso Eleonora +3 more
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On a Class of Quasilinear Elliptic Equations with Degenerate Coerciveness and Measure Data
Advanced Nonlinear Studies, 2018 We study the existence of measure-valued solutions for a class of degenerate elliptic equations with measure data. The notion of solution is natural, since it is obtained by a regularization procedure which also relies on a standard approximation of the ...
Smarrazzo Flavia
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Existence of solutions to a diffusive shallow medium equation. [PDF]
J Evol Equ, 2021 Bögelein V, Dietrich N, Vestberg M.
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