Existence results for double phase problem in Sobolev–Orlicz spaces with variable exponents in complete manifold
In this paper, we study the existence of non-negative non-trivial solutions for a class of
double-phase problems where the source term is a Caratheodory function that satisfies the …
double-phase problems where the source term is a Caratheodory function that satisfies the …
Nonlinear Calderón–Zygmund theory in the limiting case
We prove a maximal differentiability and regularity result for solutions to nonlinear measure
data problems. Specifically, we deal with the limiting case of the classical theory of Calderón …
data problems. Specifically, we deal with the limiting case of the classical theory of Calderón …
A new family of the local fractional PDEs
A new family of the local fractional PDEs is investigated in this article. The linear,
quasilinear, semilinear and nonlinear local fractional PDEs are presented. Furthermore …
quasilinear, semilinear and nonlinear local fractional PDEs are presented. Furthermore …
Existence and nonexistence of solutions for singular quadratic quasilinear equations
We study both existence and nonexistence of nonnegative solutions for nonlinear elliptic
problems with singular lower order terms that have natural growth with respect to the …
problems with singular lower order terms that have natural growth with respect to the …
[PDF][PDF] Nonlinear equations with natural growth terms and measure data.
A Porretta - Electronic Journal of Differential Equations (EJDE) …, 2002 - eudml.org
We consider a class of nonlinear elliptic equations containing a p-Laplacian type operator,
lower order terms having natural growth with respect to the gradient, and bounded …
lower order terms having natural growth with respect to the gradient, and bounded …
Existence and uniqueness of entropy solution of a nonlinear elliptic equation in anisotropic Sobolev–Orlicz space
Our objective in this paper is to study a certain class of anisotropic elliptic equations with the
second term, which is a low-order term and non-polynomial growth; described by an N-uplet …
second term, which is a low-order term and non-polynomial growth; described by an N-uplet …
W01, 1 solutions in some borderline cases of Calderon–Zygmund theory
L Boccardo, T Gallouet - Journal of Differential Equations, 2012 - Elsevier
W01,1 solutions in some borderline cases of Calderon–Zygmund theory Page 1 J. Differential
Equations 253 (2012) 2698–2714 Contents lists available at SciVerse ScienceDirect Journal …
Equations 253 (2012) 2698–2714 Contents lists available at SciVerse ScienceDirect Journal …
[KNIHA][B] Singular solutions of nonlinear elliptic and parabolic equations
AA Kovalevsky, II Skrypnik, AE Shishkov - 2016 - books.google.com
This monograph looks at several trends in the investigation of singular solutions of nonlinear
elliptic and parabolic equations. It discusses results on the existence and properties of weak …
elliptic and parabolic equations. It discusses results on the existence and properties of weak …
Nonlinear Anisotropic Elliptic and Parabolic Equations in RN with Advection and Lower Order Terms and Locally Integrable Data
We prove existence and regularity results for distributional solutions in RN for nonlinear
elliptic and parabolic equations with general anisotropic diffusivities as well as advection …
elliptic and parabolic equations with general anisotropic diffusivities as well as advection …
The regularizing effects of some lower order terms in an elliptic equation with degenerate coercivity
G Croce - arxiv preprint arxiv:1005.0203, 2010 - arxiv.org
arxiv:1005.0203v1 [math.AP] 3 May 2010 Page 1 arxiv:1005.0203v1 [math.AP] 3 May 2010
THE REGULARIZING EFFECTS OF SOME LOWER ORDER TERMS IN AN ELLIPTIC …
THE REGULARIZING EFFECTS OF SOME LOWER ORDER TERMS IN AN ELLIPTIC …