Quasilinear Elliptic Systems
Quasilinear elliptic systems in perturbed form
... Hungerb¨ uhler, Quasilinear elliptic systems in divergence form with weak monotonicity, New York J.. Hungerb¨ uhler, Young Measures and Nonlinear PDEs, Habilitationsschrift, ETH Z¨ rich,[r] ...
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An alternative approach to partial regularity of quasilinear elliptic systems with VMO coefficients
... nonlinear elliptic systems with controllable growth by the A-harmonic approximation, but their principal coefficients A(x, u, Du) are essentially Hölder continuous in (x, ...the quasilinear ...
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Three solutions for a class of quasilinear elliptic systems involving the p(x)-Laplace operator
... The existence of at least three weak solutions is established for a class of quasilinear elliptic systems involving the p ( x )-Laplace operator with Neumann boundary condition. The technical ...
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Boundary regularity result for quasilinear elliptic systems
... second-order quasilinear elliptic systems under controllable growth condition, and obtain a general criterion for a weak solution to be regular in the neighborhood of a given boundary ...
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Boundary regularity for quasilinear elliptic systems with super quadratic controllable growth condition
... to quasilinear elliptic systems under a super quadratic controllable growth condition, and we obtain a general criterion for a weak solution to be regular in the neighborhood of a given boundary ...
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Symmetric solutions for singular quasilinear elliptic systems involving multiple critical Hardy-Sobolev exponents
... This paper deals with the existence and multiplicity of symmetric solutions for a class of singular quasilinear elliptic systems involving multiple critical Hardy-Sobolev exponents in a bounded ...
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Existence of ground state solutions for a class of quasilinear elliptic systems in Orlicz-Sobolev spaces
... Instead of minimizing the energy functional on the Nehari manifold, they obtained that (.) has a nontrivial solution by a mountain pass type argument, and then, by using a technique of[r] ...
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25. On a class of quasilinear elliptic systems in rn involving critical sobolev exponents
... p -Laplacian operator, Critical Sobolev exponent, Fixed point theorem... The fixed points of the set- valued mapping S are precisely the weak solutions of system (1.[r] ...
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Multiple Solutions for a Class of Concave Convex Quasilinear Elliptic Systems with Nonlinear Boundary Condition
... solution of Equation (1.1). [8] L. Wang, Q. Wei and D. Kang, “Existence and Multiplic- ity of Positive Solutions to Elliptic Systems Involving Critical Exponents,” Journal of Mathematical Analysis and ...
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Existence of solutions for quasilinear elliptic systems in divergence form with variable growth
... This paper is organized as follows: In Section , several important properties on variable exponent spaces are presented; in Section , we give some conclusions concerned with the Young [r] ...
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Existence and Nonexistence Results for a Class of Quasilinear Elliptic Systems
... Using variational methods, we prove the existence and nonexistence of positive solutions for a class of ( p , q )-Laplacian systems with a parameter.. Copyright © 2007 S.[r] ...
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Existence of weak solutions for a class of quasilinear elliptic systems
... resonant elliptic problems, and then were widely used and extended (see [–] and their ...nonlinear elliptic systems, let F s (x, s, t) = g (s), F t (x, s, t) = g (t) and by using the some ...
9
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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Existence of entire explosive positive radial solutions of quasilinear elliptic systems
... div |∇v| q − 2 ∇v = n |x| u β , x ∈ R N , (1.4) where α > 0, β > 0, p > 1, and q > 1. As far as the author knows, there are no results that contain existence criteria of entire explosive positive solutions to ...
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Boundary regularity for elliptic systems with supquadratic growth
... of quasilinear elliptic systems with the supquadratic growth condition and obtain a general criterion for a weak solution to be regular in the neighborhood of a given boundary ...
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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 estimate. ...
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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 ...
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Existence results for a class of nonlocal problems involving p-Laplacian
... 1. Lions, JL: On some equations in boundary value problems of mathematical physics. In Contemporary developments in Continuum Mechanics and Partial Differential equations (Proc. Internat. Sympos., Inst. Mat., Univ. fed. ...
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Eigenvalue problems for a quasilinear elliptic equation on ℝN
... Simplicity and isolation of the principal eigenvalue In this section, first we are going to prove the simplicity of the principal eigenvalue of problem 1.1-1.2 by generalizing Picone’s i[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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