Results 291 to 300 of about 36,100 (302)

Mechanistic insights into the (3 + 2) cycloaddition of azomethine ylide with dimethyl acetylenedicarboxylate <i>via</i> bond evolution theory. [PDF]

open access: yesRSC Adv
Chellegui M   +7 more
europepmc   +1 more source

p-Laplacian in phenomenological modeling of flow in porous media and CFD simulations

open access: yesElectronic Journal of Differential Equations
Petr Girg, Lukas Kotrla, Anezka Svandova
doaj  

The $$p-$$Laplacian

2018
This provides a small selection of the enormous amount of information now available for the p–Laplacian. The existence of a solution of the Dirichlet problem is proved, together with a number of results concerning eigenvalues, including a version of the Courant nodal domain theorem.
W. Desmond Evans, David E. Edmunds
openaire   +2 more sources

On the Fredholm alternative for the $p$-Laplacian

Proceedings of the American Mathematical Society, 1997
Summary: We consider the problem \[ -(|u'|^{p-2} u')'=\lambda|u|^{p-2} u+f(x),\quad x\in (0,1),\quad u(0)=\beta u'(0),\quad u'(1)=0, \] where \(p>1\) and \(\beta\in\mathbb{R}\cup\{\infty\}\). Let \(\lambda_1\) be the principal eigenvalue of the problem with \(f(x)\equiv 0\).
Yin Xi Huang   +2 more
openaire   +2 more sources

On the Fredholm alternative for the p-Laplacian

Applied Mathematics and Computation, 2004
The author deals with the boundary value problem \[ (p-1)^{-1} ((\varphi_p(u'))'+ \alpha\varphi_p (u^+)- \beta\varphi_p (u^-))= f(\varphi_p(u))+ h(t) \text{ in }(0,T), \quad u(0)= u(T)= 0, \] where \(p>1\), \(\varphi_p(u)=| u|^{p-2}u\), \(T= (p-1)^{1/p} \alpha^{-1/p} \pi_p\), \(\pi_p= \frac {2\pi}{p}\sin (\frac \pi p)\), \(h\in L^\infty (0,T)\), \(f\in
openaire   +2 more sources

Resonance problems for p-Laplacian

Mathematics and Computers in Simulation, 2003
The author proves the existence of a solution to the Dirichlet problem associated to an equation involving the \(p\)-Laplacian, whose nonlinearity satisfies a generalized Landesman-Lazer-type condition.
openaire   +3 more sources

On the Fu?�k Spectrum of the p-Laplacian

Nonlinear Differential Equations and Applications, 2004
Let \(\Omega\) be a bounded domain in \({\mathbb R}^n\), \(n\geq1\).
openaire   +2 more sources

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