Results 1 to 10 of about 1,679,460 (184)

Implicit equations involving the $p$-Laplace operator [PDF]

, 2020
In this work we study the existence of solutions $u \in W^{1,p}_0(\Omega)$ to the implicit elliptic problem $ f(x, u, \nabla u, \Delta_p u)= 0$ in $ \Omega $, where $ \Omega $ is a bounded domain in $ \mathbb R^N $, $ N \ge 2 $, with smooth boundary ...
Marino, Greta, Paratore, Andrea
core   +2 more sources

Completely Integrable Systems Associated with Classical Root Systems [PDF]

, 2007
We study integrals of completely integrable quantum systems associated with classical root systems. We review integrals of the systems invariant under the corresponding Weyl group and as their limits we construct enough integrals of the non-invariant ...
A Schrödinger Operator, Toshio Oshima
core   +5 more sources

p-p' System with B Field and Projection Operator Noncommutative Solitons [PDF]

, 2001
We study the system of the Dp'-brane with Dp-brane ...
Murakami, K.
core   +1 more source

Weak perturbations of the p-Laplacian [PDF]

, 2014
We consider the p-Laplacian in R^d perturbed by a weakly coupled potential. We calculate the asymptotic expansions of the lowest eigenvalue of such an operator in the weak coupling limit separately for p>d and p=d and discuss the connection with Sobolev ...
Ekholm, Tomas, Frank, Rupert L., Kovarik, Hynek   +2 more
core   +3 more sources

On Coron's problem for the p-Laplacian [PDF]

, 2014
We prove that the critical problem for the $p$-Laplacian operator admits a nontrivial solution in annular shaped domains with sufficiently small inner hole.
Mercuri, Carlo, Sciunzi, Berardino, Squassina, Marco   +2 more
core   +1 more source

Composite Operators and Topological Contributions in Gauge Theory [PDF]

, 2001
In $D$-dimensional gauge theory with a kinetic term based on the p-form tensor gauge field, we introduce a gauge invariant operator associated with the composite formed from a electric $(p-1)$-brane and a magnetic $(q-1)$-brane in $D=p+q+1$ spacetime ...
Han, Yeong Deok, Lee, Jungjai
core   +3 more sources

Resolvent Estimates in L^p for the Stokes Operator in Lipschitz Domains

, 2012
We establish the $L^p$ resolvent estimates for the Stokes operator in Lipschitz domains in $R^d$, $d\ge 3$ for $|\frac{1}{p}-1/2|< \frac{1}{2d} +\epsilon$.
B. Dahlberg, B. Dahlberg, D. Fujiwara, D. Jerison, D. Jerison, E. Fabes, E. Fabes, E. Stein, G. Verchota, H. Fujita, L. Caffarelli, M. Mitrea, M. Mitrea, P. Deuring, P. Deuring, P. Deuring, R. Brown, R. Brown, R. Coifman, V.A. Solonnikov, Y. Giga, Y. Giga, Z. Shen, Z. Shen, Z. Shen, Z. Shen, Zhongwei Shen   +26 more
core   +1 more source

Fermionic Operator Mixing in Holographic p-wave Superfluids

, 2010
We use gauge-gravity duality to compute spectral functions of fermionic operators in a strongly-coupled defect field theory in p-wave superfluid states.
Ammon, Martin, Erdmenger, Johanna, Kaminski, Matthias, O'Bannon, Andy   +3 more
core   +1 more source

Some operator Bellman type inequalities

, 2015
In this paper, we employ the Mond--Pe\v{c}ari\'c method to establish some reverses of the operator Bellman inequality under certain conditions. In particular, we show \begin{equation*} \delta I_{\mathscr K}+\sum_{j=1}^n\omega_j\Phi_j\left((I_{\mathscr H}-
Bakherad, Mojtaba, Morassaei, Ali
core   +1 more source

Operator matrices as generators of cosine operator functions

, 2010
We introduce an abstract setting that allows to discuss wave equations with time-dependent boundary conditions by means of operator matrices. We show that such problems are well-posed if and only if certain perturbations of the same problems with ...
Mugnolo, Delio
core   +1 more source