Results 21 to 30 of about 2,552 (102)
Estimates for the volume of a Lorentzian manifold
, 2002 We prove new estimates for the volume of a Lorentzian manifold and show especially that cosmological spacetimes with crushing singularities have finite volume.Comment: 8 pages, a pdf version of the preprint can also be retrieved from http://www.math ...
C. Gerhardt +5 more
core +3 more sources
Abstract and Applied Analysis, Volume 2004, Issue 2, Page 155-164, 2004., 2004 We establish nonexistence results to systems of differential inequalities on the (2N + 1)‐Heisenberg group. The systems considered here are of the type (ESm). These nonexistence results hold for N less than critical exponents which depend on pi and γi, 1 ≤ i ≤ m. Our results improve the known estimates of the critical exponent.
Abdallah El Hamidi, Mokhtar Kirane
wiley +1 more source
Sign-Changing Solutions of Fractional 𝑝-Laplacian Problems
Advanced Nonlinear Studies, 2019 In this paper, we obtain the existence and multiplicity of sign-changing solutions of the fractional p-Laplacian problems by applying the method of invariant sets of descending flow and minimax theory.
Chang Xiaojun +2 more
doaj +1 more source
On singular quasilinear elliptic equations with data measures
Advances in Nonlinear Analysis, 2021 The aim of this work is to study a quasilinear elliptic equation with singular nonlinearity and data measure. Existence and non-existence results are obtained under necessary or sufficient conditions on the data, where the main ingredient is the ...
Alaa Nour Eddine +2 more
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A finite‐dimensional reduction method for slightly supercritical elliptic problems
Abstract and Applied Analysis, Volume 2004, Issue 8, Page 683-689, 2004., 2004 We describe a finite‐dimensional reduction method to find solutions for a class of slightly supercritical elliptic problems. A suitable truncation argument allows us to work in the usual Sobolev space even in the presence of supercritical nonlinearities: we modify the supercritical term in such a way to have subcritical approximating problems; for ...
Riccardo Molle, Donato Passaseo
wiley +1 more source
Singular measure as principal eigenfunction of some nonlocal operators
, 2013 In this paper, we are interested in the spectral properties of the generalised principal eigenvalue of some nonlocal operator. That is, we look for the existence of some particular solution $(\lambda,\phi)$ of a nonlocal operator. $$\int_{\O}K(x,y)\phi(y)
Coville, Jerome
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Solvability of nonlinear Dirichlet problem for a class of degenerate elliptic equations
Abstract and Applied Analysis, Volume 2004, Issue 3, Page 205-214, 2004., 2004 We prove an existence result for solution to a class of nonlinear degenerate elliptic equation associated with a class of partial differential operators of the form Lu(x)=∑i,j=1nDj(aij(x)Diu(x)), with Dj = ∂/∂xj, where aij : Ω → ℝ are functionssatisfying suitable hypotheses.
Albo Carlos Cavalheiro
wiley +1 more source
Fractional Hardy-Sobolev equations with nonhomogeneous terms
Advances in Nonlinear Analysis, 2021 This paper deals with existence and multiplicity of positive solutions to the following class of nonlocal equations with critical nonlinearity:
Bhakta Mousomi +2 more
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Symmetry and concentration behavior of ground state in axially symmetric domains
Abstract and Applied Analysis, Volume 2004, Issue 12, Page 1019-1030, 2004., 2004 We let Ω(r) be the axially symmetric bounded domains which satisfy some suitable conditions, then the ground‐state solutions of the semilinear elliptic equation in Ω(r) are nonaxially symmetric and concentrative on one side. Furthermore, we prove the necessary and sufficient condition for the symmetry of ground‐state solutions.
Tsung-Fang Wu
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Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, our goal is to prove the existence of a weak solution (in H01Ω) for a fully nonlinear Dirichlet problem with a nonmonotone (e.g., Lipschitz) convection function F that depends on ∇u, and a nonlinearity G that is not necessarily monotone and depends on the solution function u, and the higher order term is −ΔΓ(x, u) − diva(x, u, ∇u ...
Teffera M. Asfaw +3 more
wiley +1 more source