Quasilinear Elliptic Equations
Orlicz regularity of the gradient of solutions to quasilinear elliptic equations in the plane
... De Cave, LM, Sbordone, C: Gradient regularity for solutions to quasilinear elliptic equations in the plane.. Zecca, G: Regularity results for planar quasilinear equations.[r] ...
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Multiplicity and boundedness of solutions for quasilinear elliptic equations on Heisenberg group
... In this paper, we study a class of quasilinear elliptic equations on Heisenberg group by using the nonsmooth critical point theory.. This article is distributed under the terms of the Cr[r] ...
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Global regularity for solutions of a class of quasilinear elliptic equations
... We derive interior and global Hölder estimates for solutions of a class of quasilinear elliptic equations. First, the interior Hölder continuity is obtained by the iteration of an oscillation ...
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Entire Bounded Solutions for a Class of Quasilinear Elliptic Equations
... Yang, “Existence of positive bounded entire solutions for quasilinear elliptic equations,” Ap- plied Mathematics and Computation , vol.. V´eron, “Local and global properties of solutions[r] ...
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A note on the existence of solutions for a class of quasilinear elliptic equations: an Orlicz-Sobolev space setting
... Fang, F, Tan, Z: Existence and multiplicity of solutions for a class of quasilinear elliptic equations: an Orlicz-Sobolev space setting. Adams, RA, Fournier, JJF: Sobolev Spaces, 2nd edn[r] ...
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Infinitely many solutions for a class of quasilinear elliptic equations with p-Laplacian in RN
... Recently, the multiplicity of solutions for the quasilinear elliptic equations has been stud- ied extensively, and many fruitful results have been obtained. For example, in [], Shibo Liu considered ...
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On Removable Sets of Solutions of Neuman Problem for Quasilinear Elliptic Equations of Divergent Form
... Diederich [14]. Removable singularities of solutions of linear partial differential equations were considered in R. Harvey, J. Polking paper [15]. Removable sets at the boundary for subharmonic functions have been ...
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Two positive solutions for quasilinear elliptic equations with singularity and critical exponents
... the elliptic boundary value problems with critical exponents and sin- gular potentials have been extensively studied [2, 6, 7, 10–23, 25, 26, 28, ...following quasilinear elliptic problem with Hardy ...
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The first and second expansion of large solutions for quasilinear elliptic equations with weight functions
... p-Laplacian equations like (.) usually occur in the study of the generalized reaction- diffusion theory, non-Newtonian fluid theory, non-Newtonian filtration, and the turbu- lent flow of a gas in porous medium. In ...
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Existence of a positive solution for quasilinear elliptic equations with nonlinearity including the gradient
... equation coincides with the usual p-Laplace equation. The solution is established as the limit of a sequence of positive solutions of approximate equations. The positivity of our solution follows from the behavior ...
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Quasilinear elliptic equations with Hardy terms and Hardy-Sobolev critical exponents: nontrivial solutions
... In this paper, we obtain one positive solution and two nontrivial solutions of a quasilinear elliptic equation with p-Laplacian, Hardy term and Hardy-Sobolev critical exponent by using variational methods ...
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Lyapunov type inequalities for quasilinear elliptic equations with Robin boundary condition
... Here, we also note that in the study Cañada et al. they proved that the relation between the p and N plays a crucial role. They also considered the equation in (.) with zero Dirichlet boundary condition. They ...
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Existence and Multiplicity of Positive Solutions to a Class of Quasilinear Elliptic Equations in
... Oh, “On positive multi-lump bound states of nonlinear Schr ¨odinger equations under multiple well potential,” Communications in Mathematical Physics , vol. Tang, “Uniqueness of ground st[r] ...
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Existence of solutions for quasilinear elliptic equations with superlinear nonlinearities
... nonlinearities for a quasilinear elliptic boundary value problem in a domain in R N is established. The proofs rely on the Galerkin method, Brouwer’s theorem and a new weighted compact Sobolev-type ...
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Entire Large Solutions of Quasilinear Elliptic Equations of Mixed Type
... the quasilinear elliptic equation div | u | m 2 u = ( ) ( ) p x f u q x g u ( ) ( ) are established, where m 2 , f and g are nondecreasing and vanish at the ...
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Existence and Non Existence Result for Singular Quasilinear Elliptic Equations
... The second purpose is to give a result for nonexistence of solution. To the best of our knowledge, there has been very less result for nonexistence of solution about singular elliptic equation. We solve an open ...
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Weak solutions of degenerated quasilinear elliptic equations of higher order
... We prove the existence of weak solutions of higher order degenerated quasihnear elliptic equations The mmn tools are the degree theory for generahzed monotone mappings and mbeddlng theor[r] ...
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On the existence of multiple positive entire solutions for a class of quasilinear elliptic equations
... semilinear elliptic equations are ...semilinear equations are extended to the quasilinear ones and the results of semilinear equations are ...
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On the Solvability of Superlinear and Nonhomogeneous Quasilinear Equations
... nonhomogeneous quasilinear operators, there are many papers in literature describing the properties of the principle eigenvalue and corresponding principle eigenfunc- ...
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Infinitely many solutions for class of Neumann quasilinear elliptic systems
... Our main tool to ensure the existence of infinitely many classical solutions for Dirich- let quasilinear two-point boundary value systems is the celebrated Ricceri ’ s variational princi[r] ...
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