Results 41 to 50 of about 383 (141)
Journal of Mathematics, Volume 2024, Issue 1, 2024.In this paper, we consider the following quasilinear p⟶⋅‐elliptic problems with flux boundary conditions of the type −∑i=1N∂/∂xiaix,∂u/∂xi+bxupMx−2u=f1x,u−sgnug1x in Ω,∑i=1Naix,∂u/∂xiνi=cxuqx−2u+f2x,u−sgnug2x on ∂Ω.. Using the Fountain theorem and dual Fountain theorem, we prove the existence and multiplicity of solutions for a given problem, subject ...
Ahmed Ahmed +2 more
wiley +1 more source
Unilateral boundary value problems with jump discontinuities
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 30, Page 1933-1941, 2003., 2003 Using the critical point theory of Szulkin (1986), we study elliptic problems with unilateral boundary conditions and discontinuous nonlinearities. We do not use the method of upper and lower solutions. We prove two existence theorems: one when the right‐hand side is nondecreasing and the other when it is nonincreasing.
Nikolaos Halidias
wiley +1 more source
A local minimum theorem and critical nonlinearities
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 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
Uniqueness and radial symmetry for an inverse elliptic equation
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 48, Page 3047-3052, 2003., 2003 We consider an inverse rearrangement semilinear partial differential equation in a 2‐dimensional ball and show that it has a unique maximizing energy solution. The solution represents a confined steady flow containing a vortex and passing over a seamount. Our approach is based on a rearrangement variational principle extensively developed by G.
B. Emamizadeh, M. H. Mehrabi
wiley +1 more source
Moroccan Journal of Pure and Applied Analysis, 2019 We prove in weighted Orlicz-Sobolev spaces, the existence of entropy solution for a class of nonlinear elliptic equations of Leray-Lions type, with large monotonicity condition and right hand side f ∈ L1(Ω).
Haji Badr El +2 more
doaj +1 more source
Stability and critical dimension for Kirchhoff systems in closed manifolds
Advanced Nonlinear StudiesThe Kirchhoff equation was proposed in 1883 by Kirchhoff [Vorlesungen über Mechanik, Leipzig, Teubner, 1883] as an extension of the classical D’Alembert’s wave equation for the vibration of elastic strings. Almost one century later, Jacques Louis Lions [“
Hebey Emmanuel
doaj +1 more source
Multiple solutions for eigenvalue problems involving the (p,q)-Laplacian
, 2023 This paper is devoted to a subject that Professor Csaba Varga suggested during his frequent visits to the University of Perugia and in my regular stays at the “Babe¸s-Bolyai” University.
Patrizia Pucci, PUCCI, Patrizia
core +1 more source
Ground states for Schrödinger-Poisson system with zero mass and the Coulomb critical exponent
Advances in Nonlinear AnalysisThis article focuses on the study of the following Schrödinger-Poisson system with zero mass: −Δu+ϕu=∣u∣u+f(u),x∈R3,−Δϕ=u2,x∈R3,\left\{\begin{array}{ll}-\Delta u+\phi u=| u| u+f\left(u),& x\in {{\mathbb{R}}}^{3},\\ -\Delta \phi ={u}^{2},& x\in {{\mathbb ...
Zhang Jing +3 more
doaj +1 more source
Elliptic problems with nonmonotone discontinuities at resonance (Erratum)
, 2004 Abstract and Applied Analysis, Volume 2004, Issue 3, Page 269-270, 2004.
Halidias Nikolaos
wiley +1 more source
Some remarks on a system of quasilinear elliptic equations
, 2002 We study the existence of critical points (minima and saddle points) of functionals of the type Φ(u,v) = 1/p ∫Ω |u|p + 1/q ∫Ω |v|q - ∫Ω F(x,u,v), where p and q are real numbers larger than 1.
D. De Figueiredo, BOCCARDO, Lucio
core +1 more source