Results 51 to 60 of about 440 (168)
Abstract This study investigates the lexicographical potential of Medieval Latin documentation from the Venetian area of the Italo‐Romance domain, highlighting the need for a systematic approach to bridge Latin and vernacular linguistic developments. The project MEDITA – Medieval Latin Documentation and Digital Italo‐Romance Lexicography.
Jacopo Gesiot
wiley +1 more source
Infinitely many solutions for fractional Kirchhoff–Sobolev–Hardy critical problems
We investigate a class of critical stationary Kirchhoff fractional $p$-Laplacian problems in presence of a Hardy potential. By using a suitable version of the symmetric mountain-pass lemma due to Kajikiya, we obtain the existence of a sequence of ...
Vincenzo Ambrosio +2 more
doaj +1 more source
Numerical Study of a Nonlocal Nonlinear Schrödinger Equation (MMT Model)
ABSTRACT In this paper, we study a nonlocal nonlinear Schrödinger equation (MMT model). We investigate the effect of the nonlocal operator appearing in the nonlinearity on the long‐term behavior of solutions, and we identify the conditions under which the solutions of the Cauchy problem associated with this equation are bounded globally in time in the ...
Amin Esfahani, Gulcin M. Muslu
wiley +1 more source
Abstract Soils provide vital services for agricultural productivity, carbon sequestration, biodiversity conservation, and environmental sustainability. However, soil acidity poses a major threat to soil quality and sustainable food production globally, including in Ethiopia.
Elias Dogiso +3 more
wiley +1 more source
Existence and multiplicity of solutions for divergence type elliptic equations
We establish the existence and multiplicity of weak solutions of a problem involving a uniformly convex elliptic operator in divergence form. We find one nontrivial solution by the mountain pass lemma, when the nonlinearity has a $(p-1)$-superlinear ...
Lin Zhao, Peihao Zhao, Xiaoxia Xie
doaj
Existence Theorems for Some Classes of Boundary Value Problems Involving the P(X)-Laplacian
We prove an alternative for a nonlinear eigenvalue problem involving the p(x)-Laplacian and study a subcritical boundary value problem for the same operator.
Ionica Andrei
doaj +1 more source
Nontrivial Solutions of a Class of Fourth-Order Elliptic Problems with Potentials
This paper deals with a fourth-order elliptic equation with Dirichlet boundary conditions. Using a variant form of the mountain pass theorem, we prove the existence of nontrivial solutions to this problem.
Jiabin Zuo +2 more
doaj +1 more source
In this paper, we investigate the dynamics of higher‐order solutions for a class of damped wave equations posed in Rn and driven by a nonlocal cubic convolution source of Hartree type. The model incorporates a higher order Laplacian of order σ, spatially dependent density functions, and frictional damping mechanisms.
Khaled Zennir +4 more
wiley +1 more source
A Mountain Pass to the Jacobian Conjecture
This paper presents an approach to injectivity theorems via the Mountain Pass Lemma and raises an open question. The main result of this paper (Theorem 1.1) is proved by means of the Mountain Pass Lemma and states that if the eigenvalues of are ...
Marc Chamberland, Gary Meisters
core +1 more source
Under the suitable ranges of parameters and given assumptions, by using Ekeland variations principle、mountain pass lemma、concentration compactness lemma and some analysis techniques, Kirchhoff-type equations with critical exponents and nonhomogeneous ...
Ding Ling, WANG Ji-Xiu, ZHANG Dan-Dan
doaj

