Ground state solutions for a semilinear elliptic problem with critical-subcritical growth
Advances in Nonlinear Analysis, 2018 We prove the existence of at least one ground state solution for the semilinear elliptic ...
Alves Claudianor O. +2 more
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Blow-up solutions to the Hartree-Fock type Schrödinger equation with the critical rotational speed
Advances in Nonlinear AnalysisIn this article, we are concerned with the existence, non-existence, and blow-up behavior of normalized ground state solutions for the mass critical Hartree-Fock type Schrödinger equation with rotation i∂tu=−Δu+2V(x)u+2ΩLzu−λu−bu∫RN∣u(y)∣2∣x−y∣2dy,(t,x ...
Tu Yuanyuan, Wang Jun
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A Nonlocal Operator Breaking the Keller–Osserman Condition
Advanced Nonlinear Studies, 2017 This work is concerned about the existence of solutions to the nonlocal semilinear ...
Ferreira Raúl, Pérez-Llanos Mayte
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Intervals of bifurcation points for semilinear elliptic problems
Advances in Nonlinear AnalysisIn this article, we study the behavior of multiple continua of solutions to the semilinear elliptic problem −Δu=λf(u),inΩ,u=0,on∂Ω,\left\{\begin{array}{ll}-\Delta u=\lambda f\left(u),\hspace{1.0em}& \hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em ...
Tapia José Carmona +2 more
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Loop Type Subcontinua of Positive Solutions for Indefinite Concave-Convex Problems
Advanced Nonlinear Studies, 2019 We establish the existence of loop type subcontinua of nonnegative solutions for a class of concave-convex type elliptic equations with indefinite weights, under Dirichlet and Neumann boundary conditions.
Kaufmann Uriel +2 more
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Global Dynamics of Generalized Logistic Equations
Advanced Nonlinear Studies, 2018 We consider a parameter dependent parabolic logistic population model with diffusion and degenerate logistic term allowing for refuges for the population.
Daners Daniel, López-Gómez Julián
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Diffusive logistic equations with harvesting and heterogeneity under strong growth rate
Advances in Nonlinear Analysis, 2017 We consider the ...
Shabani Rokn-e-vafa Saeed +1 more
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Nonlinear elliptic equations and systems with linear part at resonance
, 2016 The famous result of Landesman and Lazer [10] dealt with resonance at a simple eigenvalue. Soon after publication of [10], Williams [14] gave an extension for repeated eigenvalues.
Korman, Philip
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Choquard-type equations with Hardy–Littlewood–Sobolev upper-critical growth
Advances in Nonlinear Analysis, 2018 We are concerned with the existence of ground states and qualitative properties of solutions for a class of nonlocal Schrödinger equations. We consider the case in which the nonlinearity exhibits critical growth in the sense of the Hardy–Littlewood ...
Cassani Daniele, Zhang Jianjun
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An indefinite concave-convex equation under a Neumann boundary condition II
, 2016 We proceed with the investigation of the problem $(P_\lambda): $ $-\Delta u = \lambda b(x)|u|^{q-2}u +a(x)|u|^{p-2}u \ \mbox{ in } \Omega, \ \ \frac{\partial u}{\partial \mathbf{n}} = 0 \ \mbox{ on } \partial \Omega$, where $\Omega$ is a bounded smooth ...
Quoirin, Humberto Ramos +1 more
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