Results 41 to 50 of about 16,559 (211)

Global regularity of weak solutions to quasilinear elliptic and parabolic equations with controlled growth

, 2010
We establish global regularity for weak solutions to quasilinear divergence form elliptic and parabolic equations over Lipschitz domains with controlled growth conditions on low order terms.
Arkhipova A.A., Arkhipova A.A., Bögelein V., Bögelein V., Campanato S., Campanato S., Campanato S., Campanato S., Campanato S., Campanato S., Chiarenza F., De Giorgi E., Dong H., Doyoon Kim, Duzaar F., Feng Z., Gehring F., Giaquinta M., Giaquinta M., Hongjie Dong, Ladyženskaja O.A., Lieberman G.M., Marino M., Palagachev D., Palagachev D., Pulvirenti G., Stará J.   +26 more
core   +1 more source

An Eigenvalue Problem for a Quasilinear Elliptic Field Equation

Journal of Differential Equations, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BENCI, VIERI, MICHELETTI, ANNA MARIA, D. VISETTI   +2 more
openaire   +5 more sources

Positive Solutions of Quasilinear Elliptic Equations

Journal of Mathematical Analysis and Applications, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

A new critical curve for a class of quasilinear elliptic systems

, 2012
We study a class of systems of quasilinear differential inequalities associated to weakly coercive differential operators and power reaction terms. The main model cases are given by the $p$-Laplacian operator as well as the mean curvature operator in non
Bidaut-Véron, Bonfiglioli, Busca, Capogna, Caristi, Cîrstea, D’Ambrosio, D’Ambrosio, D’Ambrosio, D’Ambrosio, Farina, Farina, Filippucci, Folland, Folland, Lair, Lorenzo D’Ambrosio, Maly, Mitidieri, Mitidieri, Mitidieri, Mitidieri, Mitidieri, Phan, Polacik, Pucci, Serrin, Serrin, Souplet, Stein, Teramoto, Trudinger, Trudinger, Yang, Yarur   +34 more
core   +1 more source

Global W1,p(·) estimate for renormalized solutions of quasilinear equations with measure data on Reifenberg domains

Advances in Nonlinear Analysis, 2018
In this paper, we prove the gradient estimate for renormalized solutions to quasilinear elliptic equations with measure data on variable exponent Lebesgue spaces with BMO coefficients in a Reifenberg flat domain.
Bui The Anh
doaj   +1 more source

Strong Maximum Principle for Some Quasilinear Dirichlet Problems Having Natural Growth Terms

Advanced Nonlinear Studies, 2020
In this paper, dedicated to Laurent Veron, we prove that the Strong Maximum Principle holds for solutions of some quasilinear elliptic equations having lower order terms with quadratic growth with respect to the gradient of the solution.
Boccardo Lucio, Orsina Luigi
doaj   +1 more source

Interface Problems for Quasilinear Elliptic Equations

Journal of Differential Equations, 1999
Let \(\Omega\subset{\mathbb R}^2\) be a polygonal domain whose closure is the union of the closures of finitely many polygonal subdomains \(\Omega^{(k)}\). The author studies the uniformly elliptic Dirichlet problem \[ -D_i[A^{ij}(x,u)D_j]=-D_iF^I\quad \text{on }\Omega, \qquad u|\partial\Omega=0 \] assuming that \(A^{ij}|[\text{cl}(\Omega^{(k)})\times{\
openaire   +3 more sources

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

Existence and nonexistence of solutions for elliptic problems with multiple critical exponents

Open Mathematics, 2023
In this article, the existence and nonexistence of solutions for the quasilinear elliptic equations involving multiple critical terms under Dirichlet boundary conditions on bounded smooth domains Ω⊂RN(N≥3)\Omega \subset {R}^{N}(N\ge 3) are proved by ...
Li Yuanyuan
doaj   +1 more source

Oscillation for quasilinear elliptic equations with p(x)-Laplacians in general domains

Electronic Journal of Differential Equations, 2013
Oscillation of quasilinear elliptic equations with p(x)-Laplacians in general domains are derived by the variational approach as applications of Picone identity. Three examples are given, and generalizations to quasilinear elliptic equations with $p(x)
Norio Yoshida
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