Results 41 to 50 of about 2,067,545 (283)
Maximum and antimaximum principles for the $p$-Laplacian with weighted Steklov boundary conditions
We study the maximum and antimaximum principles for the p-Laplacian operator under Steklov boundary conditions with an indefinite weight $$\displaylines{ -\Delta_p u + |u|^{p-2}u = 0 \quad \text{in }\Omega, \cr |\nabla u|^{p-2}\frac{\partial u ...
Mabel Cuesta +2 more
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Periodic solutions of the $ L_p $-Minkowski problem with indefinite weight
<abstract><p>We provide a new sufficient condition for the existence of a periodic solution of the singular differential equation</p> <p><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ u''+u = \frac{h(t)}{u^\rho}, $\end{document} </tex-math></disp-formula></p> <p>which is ...
Cheng, Zhibo +1 more
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Bending Fatigue Evaluation and Failure Modes of Ultra‐Thin Silicon Chips on Flexible Substrates
This study investigates the fatigue lifetime of 20‐μm‐thick chips under bending deformation. Three failure modes are identified: metal pad wearing, metal stress migration, and gold wire break. The underlying mechanisms are analyzed through micro‐scale characterization, and temperature effects on fatigue lifetime are explored.
Ying Chen +7 more
wiley +1 more source
Eigenvalues of the p-Laplacian in fractal strings with indefinite weights
The asymptotic behavior of the spectral counting function is studied for the boundary value problem \[ -(\psi_p(u'))'=\lambda r(x)\psi_p(u),\; x\in\Omega, \] with Dirichlet boundary conditions, where \(\Omega\) is a bounded open set in \({\mathbb R}\), \(p>1\), \(\lambda\) is a real spectral parameter, \(\psi_p(s)=| s| ^{p-2}s\), and the weight \(r ...
Fernández Bonder, Julián +1 more
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ABSTRACT This article examines the current landscape of clinical supervision in addiction treatment and proposes a blended supervision framework integrating developmental, competency‐based, and trauma‐informed approaches. The article explores how this integrated model can enhance clinical competence, ethical practice, and counselor resilience while ...
Cyrus Williams +2 more
wiley +1 more source
Schrödinger equations with indefinite weights in the whole space
We consider in this Note equations defined in R N involving Schrödinger operators with indefinite weight functions and with potentials which tend to infinity at infinity.
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We recommend the current practice of tumor marker reporting to upgrade to two‐figure format to include a specific growth rate in parentheses. This can be of great clinical importance, especially in the subnormal range. ABSTRACT Introduction This review offers clinicians a novel view of tumor markers (TM).
Jurate Civinskaite +5 more
wiley +1 more source
Abstract Objectives Despite advances in pediatric inflammatory bowel disease (PIBD) with biologics, remission rates remain at 47%–60% with loss‐of‐response rates at 60%–68%. Evidence for efficacy of dual biologic therapy (DBT) with anti‐tumor necrosis factor alpha therapy (anti‐TNF‐α)‐ vedolizumab (VDZ) for children refractory to anti‐TNF‐α therapy is ...
Jonathan E. M. O'Donnell +6 more
wiley +1 more source
Singular Sturm?Liouville problems with nonnegative and indefinite weights
This article is concerned with the oscillatory properties of the eigenfunctions of a class of singular Sturm-Liouville problems \(- (py')'+qy=\lambda wy\) on (a,b), where the weight function w vanishes on a subinterval of positive measure, or where the weight function w changes sign on (a,b).
Kaper, H.G., Kwong, M.K., Zettl, A.
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Antimaximum principle for elliptic problems with weight
This paper is concerned with the antimaximum principle for the linear problem with weight $-Delta u = lambda m(x) u +h(x)$, under Dirichlet or Neumann boundary conditions.
T. Godoy, J.-P. Gossez, S. Paczka
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