Results 31 to 40 of about 89,789 (287)

CONCAVITY, QUASICONCAVITY, AND QUASILINEAR ELLIPTIC EQUATIONS [PDF]

Taiwanese Journal of Mathematics, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Some quasilinear elliptic equations involving multiple $p$-Laplacians [PDF]

Indiana University Mathematics Journal, 2018
18 pages, some minor ...
Alessio Pomponio, Tatsuya Watanabe
openaire   +4 more sources

Nodal Solutions for a Quasilinear Elliptic Equation Involving the p-Laplacian and Critical Exponents

Advanced Nonlinear Studies, 2018
This paper is concerned with the following type of quasilinear elliptic equations in ℝN{\mathbb{R}^{N}} involving the p-Laplacian and critical growth:
Deng Yinbin, Peng Shuangjie, Wang Jixiu
doaj   +1 more source

A Picone identity for variable exponent operators and applications

Advances in Nonlinear Analysis, 2019
In this work, we establish a new Picone identity for anisotropic quasilinear operators, such as the p(x)-Laplacian defined as div(|∇ u|p(x)−2 ∇ u).
Arora Rakesh, Giacomoni Jacques, Warnault Guillaume   +2 more
doaj   +1 more source

Nonexistence of stable solutions to quasilinear elliptic equations on Riemannian manifolds

, 2016
We prove nonexistence of nontrivial, possibly sign changing, stable solutions to a class of quasilinear elliptic equations with a potential on Riemannian manifolds, under suitable weighted volume growth conditions on geodesic ...
Monticelli, Dario D., Punzo, Fabio, Sciunzi, Berardino   +2 more
core   +1 more source

Monotonicity and symmetry of singular solutions to quasilinear problems

, 2018
We consider singular solutions to quasilinear elliptic equations under zero Dirichlet boundary condition. Under suitable assumptions on the nonlinearity we deduce symmetry and monotonicity properties of positive solutions via an improved moving plane ...
Esposito, Francesco, Montoro, Luigi, Sciunzi, Berardino   +2 more
core   +2 more sources

Existence of positive solutions for generalized quasilinear Schrödinger equations with Sobolev critical growth

Electronic Journal of Qualitative Theory of Differential Equations
In this paper, we are devoted to establishing that the existence of positive solutions for a class of generalized quasilinear elliptic equations in $\mathbb{R}^{N}$ with Sobolev critical growth, which have appeared from plasma physics, as well as high ...
Nian Zhang, Chuchu Liang
doaj   +1 more source

Nonlinear Hodge maps

, 2000
We consider maps between Riemannian manifolds in which the map is a stationary point of the nonlinear Hodge energy. The variational equations of this functional form a quasilinear, nondiagonal, nonuniformly elliptic system which models certain kinds of ...
Hardt R., Liao G., Lichnerowicz A., Otway T. H., Otway T. H., Serrin J., Serrin J., Sibner L. M., Sibner L. M., Sibner L. M., Sibner L. M., Sibner L. M., Takakuwa S., Thomas H. Otway, Uhlenbeck K., Yang D.   +15 more
core   +3 more sources

Dimer models and conformal structures

Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala, Erik Duse, István Prause, Xiao Zhong   +3 more
wiley   +1 more source

Multiplicity of Positive Solutions for Weighted Quasilinear Elliptic Equations Involving Critical Hardy-Sobolev Exponents and Concave-Convex Nonlinearities

Abstract and Applied Analysis, 2012
By variational methods and some analysis techniques, the multiplicity of positive solutions is obtained for a class of weighted quasilinear elliptic equations with critical Hardy-Sobolev exponents and concave-convex nonlinearities.
Tsing-San Hsu, Huei-Li Lin
doaj   +1 more source