Results 91 to 100 of about 43,034 (224)

Existence and regularity for a p-Laplacian problem in ℝN with singular, convective, and critical reaction

Advances in Nonlinear Analysis
We prove an existence result for a p-Laplacian problem set in the whole Euclidean space and exhibiting a critical term perturbed by a singular, convective reaction.
Baldelli Laura, Guarnotta Umberto
doaj   +1 more source

Fractional p&q-Laplacian problems with potentials vanishing at infinity

Opuscula Mathematica, 2020
In this paper we prove the existence of a positive and a negative ground state weak solution for the following class of fractional \(p&q\)-Laplacian problems \[\begin{aligned} (-\Delta)_{p}^{s} u + (-\Delta)_{q}^{s} u + V(x) (|u|^{p-2}u + |u|^{q-2}u)= K(x) f(u) \quad \text{ in } \mathbb{R}^{N},\end{aligned}\] where \(s\in (0, 1)\), \(1\lt p\lt q ...
openaire   +2 more sources

An Effective Physics‐Informed Neural Operator Framework for Predicting Wavefields

Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 2, April 2026.
Abstract Solving the wave equation is fundamental for many geophysical applications. However, numerical solutions of the Helmholtz equation face significant computational and memory challenges. Therefore, we introduce a physics‐informed convolutional neural operator (CNO) (PICNO) to solve the Helmholtz equation efficiently.
X. Ma, T. Alkhalifah
wiley   +1 more source

Stable Model Reduction for Time‐Domain Room Acoustics: A Structure‐Preserving Formulation for Complex Boundaries

International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.
ABSTRACT This work presents novel structure‐preserving formulations for stable model order reduction in the context of time‐domain room acoustics simulations. A solution to address the instability in conventional model order reduction formulations based on the Linearized Euler Equations is derived and validated through numerical experiments.
Satish Bonthu, Hermes Sampedro Llopis, Solvi Thrastarson, Finnur Pind, Runar Unnthorsson   +4 more
wiley   +1 more source

Multiplicity theorems for semipositone p-Laplacian problems

Electronic Journal of Differential Equations, 2011
In this article, we study the existence of solutions for the semipositone p-Laplacian problems. Under a subliner behavior at infinity, using degree theoretic arguments based on the degree map for operators of type (S)_+, we prove the existence of at ...
Xudong Shang
doaj  

Semiclassical inequalities for Dirichlet and Neumann Laplacians on convex domains

Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 762-822, March 2026.
Abstract We are interested in inequalities that bound the Riesz means of the eigenvalues of the Dirichlet and Neumann Laplacians in terms of their semiclassical counterpart. We show that the classical inequalities of Berezin–Li–Yau and Kröger, valid for Riesz exponents γ≥1$\gamma \ge 1$, extend to certain values γ<1$\gamma <1$, provided the underlying ...
Rupert L. Frank, Simon Larson
wiley   +1 more source

Nontrivial solutions for nonlinear elliptic problems via Morse theory

Electronic Journal of Differential Equations, 2006
We prove the existence of nontrivial solutions for perturbations of p-Laplacian. Our approach combine minimax arguments and Morse Theory, under the conditions on the behaviors of the perturbed function $f(x,t)$ or its primitive $F(x,t)$ near infinity and
Abdesslem Ayoujil, Abdel R. El Amrouss
doaj  

Existence of Homoclinic Orbits for a Class of Asymptotically p-Linear Difference Systems with p-Laplacian

Abstract and Applied Analysis, 2011
By applying a variant version of Mountain Pass Theorem in critical point theory, we prove the existence of homoclinic solutions for the following asymptotically p-linear difference system with p-Laplacian Δ(|Δu(n-1)|p-2Δu(n-1))+∇[-K(n,u(n))+W(n,u(n))]=0,
Qiongfen Zhang, X. H. Tang
doaj   +1 more source

Coherent Disaggregation and Uncertainty Quantification for Spatially Misaligned Data

Environmetrics, Volume 37, Issue 2, March 2026.
ABSTRACT Spatial misalignment arises when datasets are aggregated or collected at different spatial scales, leading to information loss. We develop a Bayesian disaggregation framework that links misaligned data to a continuous‐domain model through an iteratively linearised integration scheme implemented with the Integrated Nested Laplace Approximation (
Man Ho Suen, Mark Naylor, Finn Lindgren
wiley   +1 more source