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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Integer Factorization of Semi Primes Based on Analysis of a Sequence of Modular Elliptic Equations
... In this paper is demonstrated a method for reduction of integer factorization problem to an analysis of a se- quence of modular elliptic equations. As a result, the paper provides a non-deterministic ...
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Global regularity for solutions of a class of quasilinear elliptic equations
... nonlinear elliptic equations has always been an important subject in the theory of differential equations and dynamical systems, see, ...of elliptic equations with var- ious conditions ...
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Picone type inequalities for nonlinear elliptic equations with first order terms and their applications
... Beginning with the work of Picone [11], Picone identity has been investigated by many authors. In particular, we refer the reader to Allegretto [2], Kreith [8], Protter [12], Swan- son [13] and the references cited ...
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Multiple positive solutions of semilinear elliptic equations involving concave and convex nonlinearities in ℝN
... Hsu, TS, Lin, HL: Four positive solutions of semilinear elliptic equations involving concave and convex nonlinearities in ℝ N.. Tarantello, G: On nonhomogeneous elliptic involving critic[r] ...
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Elliptic equations of Monge-Ampère type
... , ELLIPTIC EQUATIONS OF MONGE AMPERE TYPE John Ivan Evgen Urbas A thesis submitted for the degree of Doctor of Philosophy of The Australian National University November, 1984 (i) The work described in[.] ...
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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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Uniqueness of positive solutions to a class of semilinear elliptic equations
... reaction-diffusion equations. The absence of positive solutions to the elliptic equations also means that the existing solutions oscillate, which is also impor- tant information in ...
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Sequential and continuum bifurcations in degenerate elliptic equations
... We apply our results to non-monotone eigenvalue problems, degenerate semi-linear elliptic equations, boundary value differential-algebraic equations and fully non-linear elliptic equatio[r] ...
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Regularity properties of degenerate convolution-elliptic equations
... above equations describe the charged particle motion for certain configurations of oscillating magnetic fields (see ...evolution equations as shown by [] and [], which deal with the Navier-Stokes ...
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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, ...quasilinear elliptic problem with Hardy term and critical ...
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The basin of attraction method for a kind of nonlinear elliptic equations
... Feng, YQ, Wang, ZY, Wen, CJ: Global homeomorphism and applications to the existence and uniqueness of solutions of some differential equations.[r] ...
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Entire positive solution to the system of nonlinear elliptic equations
... Zou, Existence of positive entire solutions of elliptic Hamiltonian systems , Com- munications in Partial Di ff erential Equations 23 (1998), no... Yao, On a singular nonlinear semilinear[r] ...
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A spectral method for the eigenvalue problem for elliptic equations
... Abstract. Let Ω be an open, simply connected, and bounded region in R d , d ≥ 2, and assume its boundary ∂Ω is smooth. Consider solving the eigenvalue problem Lu = λu for an elliptic partial differential operator ...
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Existence of solutions for semilinear elliptic equations on RN
... In [], motivated by the paper [], Tehrani and Costa studied the existence of positive solutions to ( P λ ) by using the mountain pass theo-.. rem if g ( x , u ) satisfies some strong as[r] ...
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Pohozaev-type inequalities and their applications for elliptic equations
... Since then, many new results on this topic have appeared. Some of them generalized Pohozaev’s results to the more general equations, such as quasi-linear elliptic, polyhar- monic equations, ...
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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 embedding ...
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Super and subsolutions for elliptic equations on all of ℝn
... semilinear elliptic equation −u(x) = λg(x)f (u(x)), x ∈ R n , which arises in population genetics, we derive some results about the theory of existence of solutions as well as asymptotic properties of the ...
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Linear and nonlinear convolution elliptic equations
... Remark . There are a lot of positive operators in concrete Banach spaces. Therefore, putting concrete Banach spaces instead of E and concrete positive differential, pseudo differential operators, or finite, infinite ...
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A duality theorem for solutions of elliptic equations
... We endow Lf/ with the topology of uniform convergence on compact subsets of f/ and we denote by Lf/’ the linear space of all continuous linear functionals on Lt We wish to describe Lf/’ [r] ...
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