Results 21 to 30 of about 4,303 (113)
We consider a nonlinear elliptic equation driven by the (p, q)–Laplacian plus an indefinite potential. The reaction is (p − 1)–superlinear and the boundary term is parametric and concave.
Papageorgiou Nikolaos S., Zhang Youpei
doaj +1 more source
Remarks on the boundary curve of a constant mean curvature topological disc [PDF]
We discuss some consequences of the existence of the holomorphic quadratic Hopf differential on a conformally immersed constant mean curvature topological disc with analytic boundary.
Brander, David, Lopez, Rafael
core +2 more sources
Multiple solutions to a nonlinear elliptic equation involving Paneitz type operators
This paper deals with an elliptic equation involving Paneitz type operators on compact Riemannian manifolds with concave‐convex nonlinearities and a real parameter. Nonlocal and multiple existence results are established. Characteristic values of the real parameter are introduced and their role in the change of the energy sign and the existence of ...
Abdallah El Hamidi
wiley +1 more source
A local minimum theorem and critical nonlinearities
In this paper the existence of two positive solutions for a Dirichlet problem having a critical growth, and depending on a real parameter, is established.
Bonanno Gabriele+2 more
doaj +1 more source
On the economical solution method for a system of linear algebraic equations
The present work proposes a novel optimal and exact method of solving large systems of linear algebraic equations. In the approach under consideration, the solution of a system of algebraic linear equations is found as a point of intersection of hyperplanes, which needs a minimal amount of computer operating storage. Two examples are given.
Jan Awrejcewicz+2 more
wiley +1 more source
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
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 double phase Kirchhoff problems with singular nonlinearity
In this paper, we study multiplicity results for double phase problems of Kirchhoff type with right-hand sides that include a parametric singular term and a nonlinear term of subcritical growth.
Arora Rakesh+3 more
doaj +1 more source
Estimates for the volume of a Lorentzian manifold
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
A finite‐dimensional reduction method for slightly supercritical elliptic problems
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