Results 41 to 50 of about 24,259 (189)

On Cahn–Hilliard Type Viscoelastoplastic Two‐Phase Flows

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT This contribution deals with a model for viscoelastoplastic two‐phase flows of Cahn–Hilliard type. We present the modeling framework for the flow, the notion of a generalized solution, namely the so‐called dissipative solution, and the key ideas of the existence proof.
Fan Cheng, Robert Lasarzik, Marita Thomas   +2 more
wiley   +1 more source

Nonlinear boundary value problems of a class of elliptic equations involving critical variable exponents

Boundary Value Problems, 2019
In this paper, we first obtain the existence of solutions for a class of elliptic equations involving critical variable exponents and nonlinear boundary values by the mountain pass theorem and concentration compactness principle.
Yingying Shan, Yongqiang Fu
doaj   +1 more source

Existence, Non‐Existence, and Uniqueness of Solutions for a Generalized Fractional p‐Kirchhoff Equation

Mathematische Nachrichten, Volume 299, Issue 5, Page 1004-1027, May 2026.
ABSTRACT This paper investigates the existence and non‐existence and uniqueness of global solutions for certain parameter values c$c$ in a new class of generalized fractional p$p$‐Kirchhoff equations in the whole space. Using the Pohozaev and Nehari identities for an auxiliary problem, together with the fractional Gagliardo–Nirenberg inequality and the
J. Vanterler da C. Sousa, Romulo Diaz Carlos, El‐Houari Hamza   +2 more
wiley   +1 more source

Periodic solutions for second-order Hamiltonian systems with the p-Laplacian

Electronic Journal of Differential Equations, 2006
In this paper, we investigate the periodic solutions of Hamiltonian system with the p-Laplacian. By using Mountain Pass Theorem the existence of at least one periodic solution is obtained, Furthermore, under suitable assumptions, we obtain the ...
Weigao Ge, Yu Tian
doaj  

Solutions of nonlinear problems involving p(x)-Laplacian operator

Advances in Nonlinear Analysis, 2015
In the present paper, by using variational principle, we obtain the existence and multiplicity of solutions of a nonlocal problem involving p(x)-Laplacian.
Yücedağ Zehra
doaj   +1 more source

Detecting Thunderstorm‐Related High‐Energy Phenomena in Weak Signals

Journal of Geophysical Research: Atmospheres, Volume 131, Issue 8, 28 April 2026.
Abstract Gamma‐ray glows (GRGs) are high‐energy events associated with thunderstorms, characterized by an enhancement of the high‐energy background radiation lasting from a few seconds to several minutes. They are typically detected near their sources by balloons, aircraft, mountain‐based observatories, or at sea level in regions where thunderstorms ...
Y. Hazem, S. Celestin, F. Trompier, Y. Hobara   +3 more
wiley   +1 more source

The Structure of the Critical Set in the Mountain Pass Theorem [PDF]

Transactions of the American Mathematical Society, 1987
We show that the critical set generated by the Mountain Pass Theorem of Ambrosetti and Rabinowitz must have a well-defined structure. In particular, if the underlying Banach space is infinite dimensional then either the critical set contains a saddle point of mountain-pass type, or the set of local minima intersects at least two components of the set ...
PUCCI, Patrizia, J. SERRIN
openaire   +2 more sources

Existence of multiple positive solutions for a truncated Kirchhoff-type system involving weight functions and concave–convex nonlinearities

Advances in Difference Equations, 2020
We consider the combined effect of concave–convex nonlinearities on the number of solutions for an indefinite truncated Kirchhoff-type system involving the weight functions.
Qingjun Lou, Yupeng Qin
doaj   +1 more source

Modeling the Probability of Tsunami Fire Ignition Based on Data From the 2011 Tohoku and 2024 Noto Peninsula Earthquakes, With Recommendations to Reduce Emerging Fire Risk in Tsunami Vertical Evacuation Structures

Earthquake Engineering &Structural Dynamics, Volume 55, Issue 5, Page 1116-1133, 25 April 2026.
ABSTRACT Recent tsunamigenic earthquakes in Japan have highlighted the emerging fire hazard triggered by tsunami inundation and its impact on tsunami vertical evacuation (TVE) structures. This new type of fire following earthquake, referred to as “tsunami fires,” may be a potential universal hazard that tsunami‐prone countries face; however, it has not
Tomoaki Nishino
wiley   +1 more source

High Perturbations of a Fractional Kirchhoff Equation with Critical Nonlinearities

Axioms
This paper concerns a fractional Kirchhoff equation with critical nonlinearities and a negative nonlocal term. In the case of high perturbations (large values of α, i.e., the parameter of a subcritical nonlinearity), existence results are obtained by the
Shengbin Yu, Lingmei Huang, Jiangbin Chen   +2 more
doaj   +1 more source