Results 61 to 70 of about 4,486,095 (208)

A Variational Approach to Discontinuous Problems with Critical Sobolev Exponents

Journal of Mathematical Analysis and Applications, 2002
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Alves, C.O., Bertone, Ana Maria, Goncalves, J.V.   +2 more
openaire   +2 more sources

Low eigenvalues of the p$p$–Laplacian in general open sets

Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract We consider the minmax Ljusternik–Schnirelmann levels of the constrained p$p$–Dirichlet integral on a general open set of the Euclidean space. We show that, whenever one of these levels lies below the threshold given by the Lp$L^p$ Poincaré constant “at infinity,” it actually defines an eigenvalue of the Dirichlet p$p$–Laplacian. We also prove
Lorenzo Brasco, Luca Briani, Francesca Prinari   +2 more
wiley   +1 more source

Weak Solutions for a Class of Nonlocal Singular Problems Over the Nehari Manifold

Mathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 12360-12378, 30 July 2026.
ABSTRACT In this paper, we consider a nonlocal model of dilatant non‐Newtonian fluid with a Dirichlet boundary condition. By using the Nehari manifold and fibering map methods, we obtain the existence of at least two weak solutions, with sign information.
Zhenfeng Zhang, Calogero Vetro, Tianqing An   +2 more
wiley   +1 more source

Spikes for the Gierer-Meinhardt system in two dimensions: The strong coupling case [PDF]

, 2002
Numerical computations often show that the Gierer-Meinhardt system has stable solutions which display patterns of multiple interior peaks (often also called spots). These patterns are also frequently observed in natural biological systems.
Winter, M, Wei, Juncheng, Winter, Matthias, Wei, J   +3 more
core   +1 more source

Existence of solutions for p-Kirchhoff type problems with critical exponent

Electronic Journal of Differential Equations, 2011
We study the existence of solutions for the p-Kirchhoff type problem involving the critical Sobolev exponent, $$displaylines{ -Big[gBig(int_Omega|abla u|^pdxBig)Big]Delta_pu =lambda f(x,u)+|u|^{p^star-2}uquadext{in }Omega,cr u=0quadext{on ...
Ahmed Hamydy, Mohammed Massar, Najib Tsouli   +2 more
doaj  

Porosity and Permeability of Very Young Oceanic Crust: Implications for Hydrothermal Circulation at Mid‐Ocean Ridges

Geochemistry, Geophysics, Geosystems, Volume 27, Issue 7, July 2026.
Abstract Porosity and permeability are crucial factors influencing hydrothermal flow in the oceanic crust. This paper provides a comprehensive overview of measurements and estimates of porosity and permeability. Although scientific drilling projects have yielded direct measurements of these properties, available data remain limited, particularly for ...
Weihao Lyu, Michele Paulatto, Carl Jacquemyn, Matthew D. Jackson, Yanghua Wang   +4 more
wiley   +1 more source

Existence of Solutions of Semilinear Wave Equations With Time‐Dependent Propagation Speed and Time Derivative Nonlinearity

Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 8681-8690, June 2026.
ABSTRACT Consider wave equations with time derivative nonlinearity and time‐dependent propagation speed which are generalized versions of the wave equations in the Friedmann–Lemaître–Robertson–Walker (FLRW) spacetime, the de Sitter spacetime and the anti‐de Sitter space time.
Kimitoshi Tsutaya, Yuta Wakasugi
wiley   +1 more source

Matsumura‐Type Estimates and Global Solutions of a Fractional Wave Equation With Nonlocal Nonlinearity

Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9967-9983, June 2026.
ABSTRACT The main results of this paper are the global existence and long time behavior of solutions of a fractional wave equation with a nonlocal nonlinearity. The techniques in this work rely on norm estimates of the solutions of εutt+ut+(−Δ)βu=0,u(0,x)=φ(x),ut(0,x)=ψ(x),$$ \varepsilon {u}_{tt}+{u}_t+{\left(-\Delta \right)}^{\beta }u=0,\kern1em u ...
Ibrahim Ahmad Suleman, Mokhtar Kirane
wiley   +1 more source

Solutions for the Cahn-Hilliard Equation With Many Boundary Spike Layers [PDF]

, 2001
In this paper we construct new classes of stationary solutions for the Cahn-Hilliard equation by a novel approach. One of the results is as follows: Given a positive integer K and a (not necessarily nondegenerate) local minimum point of the mean
Winter, M, Wei, J
core   +1 more source

Normalized solutions to a quasilinear equation involving critical Sobolev exponent [PDF]

In this paper we study the existence and regularity results of normalized solutions to the following quasilinear elliptic Choquard equation with critical Sobolev exponent and mixed diffusion type operators: \begin{equation*} \begin{array}{rcl} -Δ_p
Nidhi, Sreenadh, K.
core   +1 more source