Results 91 to 100 of about 145 (131)
The main result of the paper concerns the existence of a solution \((u,v)\), defined on the half-line \(\mathbb{R}^+\), to the system \[ \begin{split} &-du''=\mu(x)f(u)-v, \\ &-v''+\gamma v=u \end{split} \] with boundary conditions that express the connection between two equilibria \[ (u,v)(0)=(0,0),\quad (u,v)(+\infty)=(a_\gamma,a_\gamma/\gamma ...
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Differential equations of divergence form in Musielak–Sobolev spaces and a sub-supersolution method
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We show the existence of three solution for the singular boundary-value problem $$\displaylines{ -z'' = h(t) \frac{f(z)}{z^\beta} \quad \text{in } (0,1) ,\cr z(t)> 0 \quad \text{in } (0,1),\cr z(0)= z(1)=0 , }$$ where $ 0 < \beta 0$ and ...
Dhany Rajendran +2 more
doaj
Propagation of Epidemics Along Lines with Fast Diffusion. [PDF]
Berestycki H, Roquejoffre JM, Rossi L.
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Oscillatory Carreau flows in straight channels. [PDF]
Tabakova S, Kutev N, Radev S.
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Sub-supersolution method in variational inequalities with multivalued operators given by integrals
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A free boundary approach to shape optimization problems. [PDF]
Bucur D, Velichkov B.
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A non-local free boundary problem arising in a theory of financial bubbles. [PDF]
Berestycki H, Monneau R, Scheinkman JA.
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Some general concepts of sub- and supersolutions for nonlinear elliptic problems
We propose general and unified concepts of sub- supersolutions for boundary value problems that encompass several types of boundary conditions for nonlinear elliptic equations and variational inequalities. Various, by now classical, sub- and supersolution existence and comparison results are covered by the general theory presented here.
Le, Vy Khoi, Schmitt, Klaus
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Entire solutions for a reaction-diffusion equation with doubly degenerate nonlinearity. [PDF]
Yan R, Li X.
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