Results 11 to 20 of about 17,215,808 (337)
Multiple Solutions of Singular Perturbation Problems [PDF]
SIAM Journal on Mathematical Analysis, 1972 Under certain conditions on $g(x,u)$ we establish the existence and asymptotic behavior for small $\varepsilon > 0$ of multiple asymptotic solutions of the nonlinear boundary value problem \[ \begin{gathered} \varepsilon u'' + u' - g(x,u) = 0,\quad 0 0, \hfill \\ u'(1) + bu(1) = B > 0,\quad b > 0.
Cohen, Donald S.
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Multiple solutions for parametric double phase Dirichlet problems
Communications in Contemporary Mathematics, 2020 We consider a parametric double phase Dirichlet problem. Using variational tools together with suitable truncation and comparison techniques, we show that for all parametric values [Formula: see text] the problem has at least three nontrivial solutions ...
Nikolaos S. Papageorgiou +2 more
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Multiple solutions of nonlinear boundary value problems with oscillatory solutions
Mathematical Modelling and Analysis, 2006 We consider two second order autonomous differential equations with critical points, which allow the detection of an exact number of solutions to the Dirichlet boundary value problem.
S. Ogorodnikova, F. Sadyrbaev
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Multiple solutions of double phase variational problems with variable exponent [PDF]
Advances in Calculus of Variations, 2018 This paper deals with the existence of multiple solutions for the quasilinear equation - div 𝐀 ( x , ∇ u ) + | u | α ( x ) - 2 u = f ( x , u ) in ℝ N , {-\operatorname{div}\mathbf{A}(x,\nabla u)+|u|^{\alpha(x)-2}u=f(x,u)\quad\text% {in ...
Xiayang Shi +3 more
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Multiple solutions and periodic oscillations in nonlinear diffusion processes [PDF]
, 1973 We study the oscillatory stationary states in the temperature and concentration fields occurring in tubular chemical reactors. Singular perturbation and multitime scale procedures are combined formally to clearly and simply reveal the mechanism ...
Cohen, Donald S.
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Multiplicity results for the Neumann boundary value problem
Mathematical Modelling and Analysis, 2007 We provide multiplicity results for the Neumann boundary value problem, when the second order differential equation is of the form x” = f(x).
Svetlana Atslega
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On double phase Kirchhoff problems with singular nonlinearity
Advances in Nonlinear Analysis, 2023 In this paper, we study multiplicity results for double phase problems of Kirchhoff type with right-hand sides that include a parametric singular term and a nonlinear term of subcritical growth.
Arora Rakesh +3 more
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Multiple solutions for critical Choquard-Kirchhoff type equations
, 2020 In this article, we investigate multiplicity results for Choquard-Kirchhoff type equations, with Hardy-Littlewood-Sobolev critical exponents, −a+b∫RN|∇u|2dxΔu=αk(x)|u|q−2u+β∫RN|u(y)|2μ∗|x−y|μdy|u|2μ∗−2u,x∈RN, $$\begin{array}{} \displaystyle -\left(a + b ...
Sihua Liang, P. Pucci, Binlin Zhang
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Multiple positive solutions to elliptic boundary blow-up problems [PDF]
, 2016 We prove the existence of multiple positive radial solutions to the sign-indefinite elliptic boundary blow-up problem \[ \left\{\begin{array}{ll} \Delta u + \bigl(a^+(\vert x \vert) - \mu a^-(\vert x \vert)\bigr) g(u) = 0, & \; \vert x \vert < 1, \\ u(x)
Aftalion +44 more
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Stratospheric chemistry: Multiple solutions [PDF]
Geophysical Research Letters, 1979 It is shown that the equations describing chemical partitioning among Clx (HCl, Cl, ClO, ClNO3), NOt (NO, NO2, NO3, N2O5, HNO2, ClNO3) and HOx (OH, HO2) may admit multiple solutions. These solutions apply to the high latitude winter stratosphere where abrupt spatial variations may be expected for NO2, ClO and ClNO3.
Prather, M. J +3 more
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