Classification of certain qualitative properties of solutions for the quasilinear parabolic equations
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DOI: 10.1007/s11425-016-9077-8
Abstract: In this paper, we mainly consider the initial boundary problem for a quasilinear parabolic equation $${u_t} - div\left( {{{\left| {\nabla u} \right|}^{p - 2}}\nabla u} \right) = - {\left| u \right|^{\beta - 1}}u + \alpha… read more here.
Keywords: properties solutions; quasilinear parabolic; qualitative properties; classification certain ... See more keywords
On bounded entire solutions of some quasilinear elliptic equations
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DOI: 10.1016/j.jmaa.2017.05.035
Abstract: Abstract In this paper we prove the existence of infinitely many bounded entire solutions, ground state entire solutions and entire solutions with prescribed limit at infinity to PDEs involving the ϕ-Laplace operator in the setting… read more here.
Keywords: bounded entire; elliptic equations; solutions quasilinear; entire solutions ... See more keywords
On the structure of radial solutions for some quasilinear elliptic equations
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DOI: 10.1016/j.jmaa.2018.10.019
Abstract: Abstract In this paper we study entire radial solutions for the quasilinear p-Laplace equation Δ p u + k ( x ) f ( u ) = 0 where k is a radial positive weight… read more here.
Keywords: radial solutions; solutions quasilinear; quasilinear elliptic; elliptic equations ... See more keywords
Solutions for a quasilinear Schrödinger equation: Subcritical and critical cases
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DOI: 10.1063/5.0142706
Abstract: In this paper, we establish the existence of standing wave solutions for quasilinear Schrödinger equations involving nonlinearity with subcritical and critical growth. To apply the variational method and circumvent the “lack of compactness” of the… read more here.
Keywords: solutions quasilinear; quasilinear schr; differ equations; subcritical critical ... See more keywords
Existence of weak solutions for quasilinear elliptic systems in Orlicz spaces
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DOI: 10.1080/00036811.2019.1680829
Abstract: ABSTRACTThis article deals with the existence of solutions for a quasilinear elliptic system in divergence form: −divσ(x,u,Du)=f in Ω, with boundary condition u(x)=0 on ∂Ω, where u:Ω→Rm and Ω⊂Rn is... read more here.
Keywords: existence weak; weak solutions; elliptic systems; systems orlicz ... See more keywords
Nonexistence of solutions for quasilinear Schrödinger equation in ℝN
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DOI: 10.1080/00036811.2020.1854231
Abstract: In this paper, we study the nonexistence of solutions to the quasilinear Schrodinger equations: (1) − Δ p u + V ( x ) | u | p − 2 u − Δ p (… read more here.
Keywords: nonexistence solutions; dinger equation; quasilinear schr; solutions quasilinear ... See more keywords
Positive solutions for quasilinear Schrödinger equations with superlinear term
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DOI: 10.1080/17476933.2019.1636791
Abstract: ABSTRACT In this paper, we study the following quasilinear Schrödinger equation where , is a given potential, g is a even function with for all . The nonlinearity satisfies superlinear growth at infinity. We get… read more here.
Keywords: dinger equations; positive solutions; quasilinear schr; solutions quasilinear ... See more keywords
Global and blow-up radial solutions for quasilinear elliptic systems arising in the study of viscous, heat conducting fluids
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DOI: 10.1088/1361-6544/ab08f8
Abstract: We study positive radial solutions of quasilinear elliptic systems with a gradient term in the form $$ \left\{ \begin{aligned} \Delta_{p} u&=v^{m}|\nabla u|^{\alpha}&&\quad\mbox{ in }\Omega,\\ \Delta_{p} v&=v^{\beta}|\nabla u|^{q} &&\quad\mbox{ in }\Omega, \end{aligned} \right. $$ where $\Omega\subset\R^N$… read more here.
Keywords: study; elliptic systems; solutions quasilinear; radial solutions ... See more keywords
Existence of multiple solutions for a quasilinear Neumann problem with critical exponent
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DOI: 10.1186/s13661-018-0984-0
Abstract: The main purpose of this paper is to establish the existence and multiplicity of nontrivial solutions for a quasilinear Neumann problem with critical exponent. It is shown, by the methods of the Lions concentration-compactness principle… read more here.
Keywords: quasilinear neumann; critical exponent; neumann problem; solutions quasilinear ... See more keywords
Nonexistence of stable solutions for quasilinear Schrödinger equation
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DOI: 10.1186/s13661-018-1087-7
Abstract: AbstractIn this paper, we study the nonexistence of stable solutions for the quasilinear Schrödinger equation 0.1−Δu−[Δ(1+u2)1/2]u2(1+u2)1/2=h(x)|u|q−1u,x∈RN,$$ -\Delta u- \bigl[\Delta\bigl(1+u^{2}\bigr)^{1/2} \bigr]\frac{ u}{2(1+u^{2})^{1/2}}=h(x) \vert u \vert ^{q-1}u,\quad x\in R^{N}, $$ where N≥3$N\ge3$, q≥5/2$q\ge5/2$ and the function h(x)$h(x)$… read more here.
Keywords: dinger equation; nonexistence stable; quasilinear schr; solutions quasilinear ... See more keywords
Multiplicity of Solutions for Quasilinear Differential Models Generated by Instantaneous and Non-Instantaneous Impulses
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DOI: 10.3390/sym14061141
Abstract: This paper aims to deal with the multiplicity of weak solutions for quasilinear differential models generated by instantaneous and non-instantaneous impulses. By establishing the new variational structure and overcoming the influence of impulsive effects brought… read more here.
Keywords: instantaneous non; solutions quasilinear; differential models; models generated ... See more keywords