[PDF] Top 20 Entire Large Solutions of Quasilinear Elliptic Equations of Mixed Type
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Entire Large Solutions of Quasilinear Elliptic Equations of Mixed Type
... nonnegative entire large solutions for 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 ... See full document
8
Entire positive solution to the system of nonlinear elliptic equations
... equilibrium solutions is established for the Volterra-Lotka mutualistic symbiosis model in the case of equal linear birth rates, using the method of upper and lower ...so-called mixed type in which F ... See full document
11
N o nl i ne a rM e t ho ds i n t he St udy o f Si ng ul a r P a r t i a l Di ff e r e nt i a l E q ua t i o ns
... an entire large ...up solutions are the main questions addressed and resolved in this dis- ...similar equations with homogeneous Dirichlet boundary conditions, along with that of ODEs, ... See full document
193
Weighted Sobolev spaces and ground state solutions for quasilinear elliptic problems with unbounded and decaying potentials
... state solutions, respectively. We extend the results in [] to a large class of weighted Sobolev embeddings and obtain some new embedding theorems for the general potentials and radially symmetric ... See full document
15
A note on the existence of solutions for a class of quasilinear elliptic equations: an Orlicz-Sobolev space setting
... is the well-known p-Laplacian equation. There is a large number of papers on the exis- tence of solutions for the p-Laplacian equation. But the problem (.) possesses more com- plicated nonlinearities. For ... See full document
7
Existence and multiplicity of solutions for equations involving nonhomogeneous operators of p(x)-Laplace type in RN
... Carathéodory condition. The purpose of this paper is to show the existence of at least one solution, and under suitable assumptions, infinitely many solutions for the problem above by using mountain pass theorem ... See full document
17
Large solutions of semilinear elliptic equations with nonlinear gradient terms
... [8] V. A. Kondrat’ev and V. A. Nikishkin, Asymptotics, near the boundary, of a solution of a singular boundary-value problem for a semilinear elliptic equation, Differential Equations 26 (1990), no. 3, ... See full document
15
Quasilinear elliptic equations with Hardy terms and Hardy-Sobolev critical exponents: nontrivial solutions
... Note that the function f in [] has to be a homogeneous function, but in the present paper it is not the case. Besides, we also obtain multiple solutions of (.) (see our Theorem .). Remark . We prove ... See full document
11
Existence of three solutions for a nonlocal elliptic system of (p,q)-Kirchhoff type
... In this paper, our objective is to prove the existence of three solutions of problem (.) by applying the three critical points theorem established by Ricceri []. Our result, un- der appropriate assumptions, ... See full document
9
Regularity of weak solutions to obstacle problems for nondiagonal quasilinear degenerate elliptic systems
... However, as far as we know, there is no result concerning the problem of regularity for solutions to the obstacle problem related to the nondiagonal degenerate elliptic systems. In this paper, we try to fill ... See full document
16
Liouville Type Theorems for Some Integral Systems
... “Spike-Layered Solutions with Compact Support to Some Singularly Perturbed Qua- silinear Elliptic Problems in General Smooth Domains,” Journal of Computational and Applied Mathematics, ... See full document
7
Entire Solutions for a Quasilinear Problem in the Presence of Sublinear and Super-Linear Terms
... variational principles, lower-upper solutions, and an approximation procedure will be explored. Copyright q 2009 C. A. Santos. This is an open access article distributed under the Creative Commons Attribution ... See full document
16
Infinitely many solutions for class of Neumann quasilinear elliptic systems
... Precisely, under appropriate hypotheses on the behavior of the nonlinear term F at infinity, the existence of an interval Λ such that, for each l Î Λ , the system (1) admits a sequence of pairwise distinct weak ... See full document
10
Blow-up rates and uniqueness of entire large solutions to a semilinear elliptic equation with nonlinear convection term
... the maximum positive solution and completely classified all possible positive solutions. Later, Lair [27], Cîrstea and Rădulescu [10], and Tao and Zhang [46] further investigated the existence of entire ... See full document
14
Existence and Non Existence Result for Singular Quasilinear Elliptic Equations
... [19] J. V. Goncalves and C. A. Santos, “Existence and Asy- mptotic Behavior of Non-Radially Symmetric Ground States of Semilinear Singular Elliptic Equations,” Non- linear Analysis, Vol. 65, No. 4, 2006, ... See full document
6
Existence of weak solutions for a class of quasilinear elliptic systems
... 5. Drábek, P, Robinson, SB: Resonance problems for the p-Laplacian. J. Funct. Anal. 169(1), 189-200 (1999) 6. Tang, C-L: Solvability for two-point boundary value problems. J. Math. Anal. Appl. 216(1), 368-374 (1997) 7. ... See full document
9
Existence and Uniqueness of Solution to Semilinear Fractional Elliptic Equation
... 2013 Elliptic Partial Differential Equations Existence and Regularity of Distributional Solutions.. Linear and Semilinear Elliptic Equations.[r] ... See full document
8
Existence and multiplicity of positive solutions to a perturbed singular elliptic system deriving from a strongly coupled critical potential
... semilinear elliptic systems have been studied extensively and many conclusions have been ...an elliptic system and some important conclusions had been ...the elliptic systems involving the Hardy ... See full document
14
Nontrivial solutions for a quasilinear elliptic system
... nonnegative solutions (especially, positive solutions) for system ...Ambrosetti-Rabinowitz type result (see [, ]) can be extended to system ...nonnegative solutions. In order to obtain the ... See full document
9
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 ... See full document
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