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Multiple solutions for a Neumann boundary value problem.

2003
Summary: The aim of this note is to establish a multiplicity result for the ordinary Neumann problem \[ -u''+ uh(u')=\lambda f(t,u)h(u'),\;u'(a)= u'(b)= 0. \] The approach is based on a critical point theorem.
openaire   +2 more sources

Multiplicity of Solutions to a Boundary-Value Problem with Nonlinear Neumann Condition

Journal of Mathematical Sciences, 2005
Summary: We consider the boundary-value problem \[ \begin{aligned} -\Delta_p u + | u| ^{p-2} u =& 0\quad \text{in\;} B_R,\\ | \nabla u| ^{p-2}\langle\nabla u;n\rangle =& | u| ^{q-2} u\quad \text{on\;}S_R,\end{aligned} \] where \(\Delta_p u = \text{div}(| \nabla u| ^{p-2} \nabla u)\) and \(n\) is the unit outward normal. We show that there exist so many
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Interpolation of Boundary Value Problems of Neumann Type on Smooth Domains

Journal of the London Mathematical Society, 1992
Summary: Consider the Sobolev space \(W^ N_{p {\mathcal B}}\) of all functions with up to \(N\) derivatives in \(L_ p\) (on a smooth domain) satisfying a set \({\mathcal B}\) of homogeneous boundary conditions. Then the real interpolation spaces between \(L_ p\) and \(W^ N_{p {\mathcal B}}\) are characterized completely in the case \(1 < p < \infty\).
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Successively iterative method of nonlinear Neumann boundary value problems

Applied Mathematics and Computation, 2010
This paper proves the existence of nontrivial sign changing solutions to a class of nonlinear second-order Neumann boundary value problems, through an iterative technique that uses an increasing operator fixed point theorem. This is a theoretical study and no numerics are given.
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Exact and Numerical Solution of the Fractional Sturm–Liouville Problem with Neumann Boundary Conditions

Entropy, 2022
Malgorzata Klimek   +2 more
exaly  

Weak solution of a Neumann boundary value problem with ?(?)-Laplacian-like operator

Analysis (Germany), 2022
Mohamed El Ouaarabi   +2 more
exaly  

Nonlinear Neumann Boundary Value Problems

2019
Kendall Atkinson   +2 more
openaire   +1 more source

An Exterior Neumann Boundary-Value Problem for the Div-Curl System and Applications

Mathematics, 2021
Briceyda B Delgado   +1 more
exaly  

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