Results 111 to 120 of about 43,034 (224)
Existence of infinitely many solutions of p-Laplacian equations in R^N+
In this article, we study the p-Laplacian equation $$\displaylines{ -\Delta_p u=0, \quad \text{in } \mathbb{R}^N_{+},\cr |\nabla u|^{p-2}\frac{\partial u}{\partial n}+a(y)|u|^{p-2}u=|u|^{q-2}u , \quad \text{on } \partial\mathbb{R}^N_{+}=\mathbb{R ...
Junfang Zhao, Xiangqing Liu, Jiaquan Liu
doaj
Abstract As spherical shell mantle convection models become increasingly commonplace, understanding how plates are generated has raised the issue of how to recognize whether rigid plates are present in model output. Tectonocists have long recognized that intraplate regions are not rigid without exception.
P. Javaheri, J. P. Lowman
wiley +1 more source
Bifurcation from the first eigenvalue of the p-Laplacian with nonlinear boundary condition
We consider the problem $$\displaylines{ \Delta_{p}u =|u|^{p-2}u \quad\text{in }\Omega, \cr |\nabla u|^{p-2}\frac{\partial u}{\partial \nu}=\lambda|u|^{p-2}u + g(\lambda,x,u) \quad\text{on }\partial\Omega, }$$ where $\Omega$ is a bounded domain of $
Mabel Cuesta +2 more
doaj
Abstract Understanding fault‐zone permeability is crucial in model‐based assessment of fluid migration, earthquake nucleation, and hydrothermal or hydrocarbon systems. Vertical seismic profiling (VSP) often captures Stoneley (tube) waves generated by fluid‐formation coupling in and around a borehole.
Shohei Minato +2 more
wiley +1 more source
Biased infinity Laplacian Boundary Problem on finite graphs
We provide an algorithm, running in polynomial time in the number of vertices, computing the unique solution to the biased infinity Laplacian Boundary Problem on finite graphs. The algorithm is based on the general outline and approach taken in the corresponding algorithm for the unbiased case provided by Lazarus et al.
Peres, Yuval, Sunic, Zoran
openaire +2 more sources
Fault Roughness Controls Seismicity Front Migration During Fluid Injection
Abstract The increasing occurrence of injection‐induced earthquakes has raised public concern and highlighted the importance of understanding subsurface processes and mechanisms to assess induced seismic hazards and risks. We develop a simple physics‐based model to investigate how fault roughness controls the migration of seismicity during fluid ...
Hsiao‐Fan Lin +2 more
wiley +1 more source
In this article, we prove the existence of infinitely many solutions for the fractional $p$-Laplacian equation $$ (-\Delta)^s_p u+V(x)|u|^{p-2}u=f(x,u),\quad x\in \mathbb{R}^N $$ where $s\in(0,1)$, $2\leq ...
Youpei Zhang, Xianhua Tang, Jian Zhang
doaj
Topographic Scattering of Internal Waves in the Presence of a Steady Surface Current
Abstract Wave–topography interaction is one of the primary mechanisms through which internal wave energy cascades to small length scales, eventually leading to turbulent diffusion and mixing in the oceans. Precise diffusivity parametrizations are crucial for modeling oceanic flows accurately.
Saranraj Gururaj, Anirban Guha
wiley +1 more source
Abstract Heterogeneous landscape leads to large variations of urban microclimate in all dimensions, yet the vertical variability of meteorological elements within the urban canopy layer (UCL) has been rarely examined. In the present study, we developed an urban vertical diffusion model coupled with a single‐layer urban canopy model.
Yilin Chen +5 more
wiley +1 more source
Two solutions for fractional p-Laplacian inclusions under nonresonance
We study a pseudo-differential inclusion driven by the fractional p-Laplacian operator and involving a nonsmooth potential, which satisfies nonresonance conditions both at the origin and at infinity.
Antonio Iannizzotto +2 more
doaj

