Results 1 to 10 of about 13,124,526 (179)

Weak solutions to general Euler's equations via nonsmooth critical point theory [PDF]

Annales de la Faculté des sciences de Toulouse : Mathématiques, 2000
Using the nonsmooth critical point theory the author proves the existence of a nontrivial weak solution for a general class of nonlinear elliptic boundary value problems on a bounded domain.
Squassina, Marco, Marco Squassina
openaire   +4 more sources

Compactness via monotonicity in nonsmooth critical point theory, with application to Born–Infeld type equations [PDF]

Journal of Functional Analysis
59 pages.
Byeon, Jaeyoung, Ikoma, Norihisa, Malchiodi, Andrea, Mari, Luciano   +3 more
core   +5 more sources

Periodic solutions for a differential inclusion problem involving the p(t)-Laplacian

Advances in Nonlinear Analysis, 2020
In the present paper, we consider the nonlinear periodic systems involving variable exponent driven by p(t)-Laplacian with a locally Lipschitz nonlinearity.
Chen Peng, Tang Xianhua
doaj   +1 more source

The Dirichlet problem for discontinuous perturbations of the mean curvature operator in Minkowski space

Electronic Journal of Qualitative Theory of Differential Equations, 2015
Using the critical point theory for convex, lower semicontinuous perturbations of locally Lipschitz functionals, we prove the solvability of the discontinuous Dirichlet problem involving the operator $u\mapsto\mbox{div} \Big(\frac{\nabla u}{\sqrt{1 ...
C. Bereanu, Petru Jebelean, Calin-Constantin Serban   +2 more
doaj   +1 more source

Constant Sign and Nodal Solutions for Problems with the -Laplacian and a Nonsmooth Potential Using Variational Techniques

Boundary Value Problems, 2009
We consider a nonlinear elliptic equation driven by the -Laplacian with a nonsmooth potential (hemivariational inequality) and Dirichlet boundary condition.
Filippakis MichaelE, Papageorgiou NikolaosS, O'Regan Donal, Agarwal RaviP   +3 more
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A class of degenerate elliptic eigenvalue problems

Advances in Nonlinear Analysis, 2013
We consider a general class of eigenvalue problems where the leading elliptic term corresponds to a convex homogeneous energy function that is not necessarily differentiable.
Lucia Marcello, Schuricht Friedemann
doaj   +1 more source

Perturbations of critical values in nonsmooth critical point theory

, 1996
Several theorems about the perturbation of critical values for continuous functionals are proved. Their applications to eigenvalue problems for variational inequalities are given.
DEGIOVANNI M., LANCELOTTI, SERGIO
openaire   +3 more sources

Existence of multiple solutions for quasilinear diagonal elliptic systems

Electronic Journal of Differential Equations, 1999
Nonsmooth-critical-point theory is applied in proving multiplicity results for the quasilinear symmetric elliptic system $$ -sum_{i,j=1}^{n}D_j(a^{k}_{ij}(x,u)D_iu_k)+ {1over 2}sum_{i,j=1}^{n}sum_{h=1}^N D_{s_k}a^{h}_{ij}(x,u)D_iu_hD_ju_h=g_k(x,u ...
Marco Squassina
doaj  

An application of nonsmooth critical point theory

, 2010
We consider a class of elliptic equation with natural growth. We obtain a region of the natural growth term with precise lower boundary less than zero.
Li, Zhouxin, Shen, Yaotian, Zhang, Yimin
openaire   +1 more source

On gamma-convergence for problems of jumping type

Electronic Journal of Differential Equations, 2003
The convergence of critical values for a sequence of functionals $(f_h)$ $Gamma$-converging to a functional $f_{infty}$ is studied. These functionals are related to a classical ``jumping problem'', in which the position of two real parameters $alpha,eta$
Alessandro Groli
doaj